help-23

[brazen parrot]

my brain hurts

[frozen marlin]

1:3 means one is three times the other

[frozen marlin]

so if sides "XY" and "YZ", say, are in the ratio 1:3::XY:YZ
that means YZ is 3 times the length of XY

[brazen parrot]

oh i see

if it was

AB/AM

would it just be 4?

[frozen marlin]

?

i can't really see the text

too small

[frozen marlin]

one sec

[brazen parrot]

oki

[frozen marlin]

is that AM/AB

or AM/MB

[winged flare]

Yeah, 4:1

[brazen parrot]

if it was AB/AM

[brazen parrot]

ok tjx

is it cuz like this

[winged flare]

Yes

[brazen parrot]

weong one

[winged flare]

wrong one?

[brazen parrot]

i sent a pic of my food on sccident lol

ok bye

[frozen marlin]

!done

[safe radish]

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[brazen parrot]

.close

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[bitter condor]

Can somebody help me with the following question, I tried finding abs(a) and adding it to abs(b), abs(a) + abs(b) = abs(a + b). However I dont understand how to get a range from this.

[restive niche]

Are you aware of the triangle inequality?

[restive niche]

Also, abs(a+b) is not always equal to abs(a)+abs(b)

In general, abs(a+b)≠abs(a)+abs(b)

[bitter condor]

I am not

[restive niche]

Please look it up

[bitter condor]

This one? a + b ≥ c

[restive niche]

It states
abs(abs(a)-abs(b))≤abs(a+b)≤abs(a)+abs(b) for any vectors a and b

[restive niche]

Writing 3 letters with a ≥ sign in the middle has no meaning

[restive niche]

Try using this result here

[bitter condor]

for the middle part abs(a+b), how would i plug in the b if i dont have the vector for b and only the magnitude?

or acc wait

nvm

i got it

tyyyyy @restive niche

[restive niche]

Don't plug in anything

We are trying to find the range of abs(a+b)

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[stray surge]

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[desert mountain]

Ima be honest I gpt'd some of this and some of my friends think its wrong can someon check my shi 😭

[desert mountain]

Don't asky why its in canva

[humble helm]

Of course it's wrong

9+1/2

Isn't a 9/2

[desert mountain]

thats what my friends corrected 💀

What is it thne

[humble helm]

It's 19/2?

[desert mountain]

huh

[humble helm]

Is this your answer?

[desert mountain]

It was

But my friends said

its 9/2

And I made it mixed

[humble helm]

Don't believe him

Just do what you did before

Only the last one is correct

[desert mountain]

so everythings wrong?

Oh

[humble helm]

Almost

Last is 91/2

Keep it

[desert mountain]

I have to make it mixed cause Im graphing it

[humble helm]

In this exercise you have to use fractions?

Actually you could say that 1/2 is 0,5

And just add them

So 9+0,5 is 9,5

Or the teacher said you cannot do it?

[desert mountain]

wait which exampl are you pointing out

?

[humble helm]

All ones

1/2=0,5

[desert mountain]

No decimals

[humble helm]

Did you know

Ok...

[desert mountain]

I have a question

I absolutely

Forgot

How I got

91 and 19

[humble helm]

ok

You just multiplied by 2

Denominator and numerator

So it's the same

[desert mountain]

Why do you do that again when your adding fractions?

[humble helm]

We can't add fractions when they have different denominators

So we multiplied by 2
9/1 so it's 18/2 and we add to 1/2 it will be 19/2

Is this understandable?

If so, you can redo all exercises

[desert mountain]

Last question

Mb bruv

So uh

Basically

Im tryna graph this linear function right

If I solve all these

And graph it

Would it be a straight lin

[humble helm]

Of course

y=mx+b

It's a linear

And also

You need only 2 points to graph it

[desert mountain]

If my stuff isn't straight its wrong right

[humble helm]

But if your teacher said to do it all, then do it...

[humble helm]

Yea

[desert mountain]

Yeah sh did

Yeah suprisingly all gpt'

chat gpts and online stuff

Wer correct

Im trusting that instead of my dumbahh friends

[humble helm]

teach your friend...

Or he will die...

[desert mountain]

so basically multipl numerator and denominator right

When adding

[humble helm]

We need a similar denominator to add

[desert mountain]

Oh

So thats why we

multiply numerator

And denominator

[desert mountain]

Cause

[humble helm]

See

[desert mountain]

Alright

Tysm

@humble helm

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[fast reef]

hii, how do i do part ii?

[tame raft]

what does your sketch look like

[tame raft]

so intuitively the inequality should be solved by intervals (-infinity, a) and then (b, infinity)

going off of the graph

so to find a and b you just need to solve the equality

[fast reef]

huh a and b?

[tame raft]

just names for some variables

[fast reef]

its the graph below

oh

[tame raft]

because you can see on the graph, the function is positive from -infinity up to like -5/2

and it increases from basically 0 up to whatever you like

so at some point it'll be 5/6

call that point a

so from -infinity to a

it'll be between 0 and 5/6

then similarly on the other side, it goes down from infinity to 0, so at some point it'll be 5/6 again

call that point b

and then from b to infinity it'll be between 0 and 5/6

so that gives the solution

[fast reef]

ohhhhh

wait but

the equation in the inequality is different for (ii) though

[tame raft]

ah

well ok multiply everything in the inequality by 6

it's basically the same

[fast reef]

the x-3 and the 3-x

can i just bring the negative out?

[tame raft]

oh wait i'm dumb

yeah i didn't notice the negative

that changes things

you can multiply everything by -1 but that changes the direction of the inequalities

so you'll have to modify the reasoning i used a bit

[fast reef]

oh okkk

thanks then

i think i can handle it now

.close

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[dim wraith]

prove that the matrices form a basis in the space of real symmetric matrices of order 3, and find the coordinates of the matrix x in this basis

[dim wraith]

matrices

x matrix:

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[magic junco]

What’s the question?

That’s comma, right?

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[lethal summit]

@magic junco

[little cosmos]

Consider: how many distinct terms are in a 3x3 symmetric matrix, and what might that make the space of 3x3 symmetric matrices isomorphic to

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[cosmic saffron]

.reopen

[eternal heath]

Heu

[fathom temple]

hi

[eternal heath]

.close

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[eternal heath]

.reopen

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✅

[lean otter]

do you need help with something @eternal heath

[fathom temple]

he'll post wait he's new here as u can tell

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[cobalt valve]

Is this correct?

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<@&286206848099549185>

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[lean otter]

question for Multivariable calc

[lean otter]

I believe I took the correct steps to find true course and true speed but I don't understand where or why I went wrong?

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[crystal root]

first we can draw the diagram like u did

then we can apply the rule of Z shapes to connect the vector arrows like this

now we have this vector diagram, now we can use trig to find the final velocity

[lean otter]

im unfamliar with the rule of z shapes...so you added the angles?

[crystal root]

oh mb

rule of z shapes states that the angle of mirrored sides of a Z shape with the lines being parallel are the same

i just drew the same line of the wind coming in connected to the vector line of the plane, to create a Z shape

then i matched the angles

[lean otter]

ok so with that, how do I get the true coarse and speed

[crystal root]

when you conenct the vectors together i think u can just use trig to find the final velocities

or wait actually

dont think u need to do the z thing

can just make it simpler

mb

we can just draw this diagram, use trig to change the velocities to be stricly up/down, left/right

[lean otter]

hmm so since the wind is blowing the same direction the plane is headed its giving it a speed boost? so then the angles would be 105 that makes more sense

[crystal root]

here's the horizontal and vertical velocities of the plane

[crystal root]

the wind would blow the plane down, slowing it down in regards of up/down velocities, but yes it would give it a speed boost going to the right

and here is the vertical and horizontal velocities of wind

for the horizontal velocities, since it's going the same direction we will add it

for the vertical velocities, it is going the opposite direction so we will minus it

and this should be it

[lean otter]

ahh ok, so I would leave in the form of a vector right?

[crystal root]

i mean after adding them together u can turn it back to a velocity

here, u can just find the velocity from this

just make the 476. something number accurate, i just put a bunch of dots cuz honestly i cant bother writing 20 numbers every time

[lean otter]

ok thanks gang!

[crystal root]

np, honestly im not 100% sure of my answer but i hope it's right lol

[lean otter]

seems like the right idea, thanks again

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[forest lance]

Hello

[forest lance]

How do I solve this

[potent seal]

Is the 5 in red the exponent of 10 or is it the question number?

[rare patio]

i doubt its an exponent

it seems to be the question number of another column of questions to the right

[potent seal]

Hmm

[rare patio]

this doesnt look solvable

[potent seal]

You can try finding the third side of the bigger triangle using Pythagorean theorem and then find out the height using the same thing

[rare patio]

dont we need at least one more side length or one angle

to find the exact value of x

wait nevermind

this is harder than it looks though

[marsh raptor]

We have three unknowns and three triangles to apply Pythagoras theorem on so it's prbly solvable

[rare patio]

yea for some reason i didnt notice large triangle is right angle

also all 3 triangles are similar

so angles are same

therefore side ratios same

[potent seal]

With this you'll have to solve a quadratic in the end though

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[tiny frost]

I would appreciate some help here, Not sure how to even begin this

[tiny frost]

its suppose to say -14 not -4

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[tiny frost]

anyone?

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[lyric pendant]

Friend and I have been trying to figure this out. We're getting different answers and don't have an answer sheet. Can anyone solve? We don't need the working just the final answer.

The beam is not in equilibrium.

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@lyric pendant Has your question been resolved?

[lyric pendant]

No

[magic junco]

What’s the full question? To make the resultant force become zero?

[ionic folio]

What is the ratio of the length on the rod
Otherwise you wouldn't be able to solve it

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@lyric pendant Has your question been resolved?

[lyric pendant]

Find W

It's not in equilibrium

[lyric pendant]

This is all the info we got

[lavish storm]

Barycentre?

[ionic folio]

It's insufficient information

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[lean otter]

What it means if a limit tend to a number and not to infinite

[desert pasture]

that means the limit exists and is finite

[magic junco]

It’s a converge

sequence

[desert pasture]

oh, you're talking about sequences ?

[magic junco]

I’m just making guesses, they didn’t state it clear

[lean otter]

lim an
n -> 0

In this came

Case*

It tends to 0

What is the difference

Lim an
n -> infinite

[pseudo scroll]

n gets very close to 0

its a finite value

just very close

n going to infinite is a very big number

[lean otter]

Oh so the highest number is very close to 0

[pseudo scroll]

its a finite number

just very large

[lean otter]

Ok thx

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[untold forge]

I have issues with exercices about points in matric space

I mean

I have test tomorrow -_-

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[tame marsh]

Hii, can someone help me? What am I supposed to do in cases where tg or ctg are not defined? (for example here ctg pi is not defined)

[tame marsh]

Also these are supposed to be addition and reduction formulas

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[tame marsh]

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[heavy lily]

here!

what help do you want?

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@tame marsh Has your question been resolved?

[tame marsh]

Hi, sorry bad Wifi. Basically I am doing a task that uses adition formulas. I dont understand what am I supposed to do when tg or ctg are not defined.

[heavy lily]

sorry i cant help you with that one

[tame marsh]

Like here where ctg is pi whoch is not ddfined

[tame marsh]

That's alright, thanks for trying.

[lean otter]

ctg is cotangent?

[tame marsh]

Yes

[lean otter]

well, isnt this just asking for you to simplify it in a way where it is solvable

not to find an exact number answer

what if u seperated it out into 2 parts

(correct me if im assumng the question wrong btw)

[tame marsh]

Thats also what I though but In the book it says that the correct answer is 7/24 which is what confuses me

[lean otter]

oh wait

so ur finding t

ok

1st i assume u simplify it tho still

lemme get sm paper

[tame marsh]

So this is the full task

[lean otter]

ok so

r u finding t

or ctg t

[tame marsh]

Neither actually😅

[lean otter]

?

[tame marsh]

Wait

[lean otter]

u said the answer is 24/7

[tame marsh]

Ill try to explain

[lean otter]

what r u finding

yh

[tame marsh]

So this is the adition formula for ctg

[lean otter]

so ur trying to find ctg(pi+t)

[tame marsh]

yes

Sorry im kinda bad at this

[lean otter]

ur good

so the answer is 24/7

and u dk how to get there

[tame marsh]

yes

[lean otter]

ctg pi itself is undefined

[tame marsh]

yes, and idk how to solve it when ctg is undefined

I knew how to solve the tasks before this because every function has its value, but idk how to solve this if its undefined

[lean otter]

hmm

ok

let me play around with it

i haven had to d this in 3 yrs so sorry if i wont be able to help

but ill try

[tame marsh]

That's okayy, its honestly so nice of you to even try and help

Also I am gonna warn you, sometimes the answers thar are written in the book are wrong, so there is a chance of that happening, but usually its right

[lean otter]

alright

[tame marsh]

Thank youu💕💕

[lean otter]

i think we have to

eliminate the pi somehow

so in ur final answer the book provided

it says cot(t)=24/7

if we did have to find cot(pi+t), if we find cot(t) 1st, we find out what t is

and we can add it to pi to find wtv

this question is so ew...

one sec

ok im actually

sonfused

confused*

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@tame marsh Has your question been resolved?

[tame marsh]

Ahahhaza thata alright

It's not a life or death matter

[lean otter]

its prolly sm confusing trig rule ngl

[tame marsh]

Either that or the book really did provide a wrong answer

[lean otter]

yh im not sure, but i can look into it with another friend tmrw if u still need help

[tame marsh]

Its alright, you dont need to, theres a low chance the professor will put it in the test

But thank youu<3

But literally thank you so much

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[zinc hare]

The question was to find the domain, range, and all intercepts of the function below. My work is attached and I’m stuck on how to get everything

[vapid anvil]

$\log_e(x) = \frac{3}{x^2 + 4}$

[flat frigate]

ColdTee

[vapid anvil]

Is this right?

[zinc hare]

Yes that’s right

[zinc hare]

Oh but there’s not loge

[vapid anvil]

ln(x)?

[zinc hare]

Just h(x)

[vapid anvil]

Ohhh

h(x)

[zinc hare]

Yes sorry my handwritings messy

[vapid anvil]

why have you written $x^2 + 4 \geq 0$?

[flat frigate]

ColdTee

[vapid anvil]

Can you not just tell the answer

[mortal jolt]

you talkin to me ?

[vapid anvil]

Yes

[mortal jolt]

yeah

i can

[vapid anvil]

What do you mean

You can

I'm telling you not to!

[mortal jolt]

oh

sorry

[zinc hare]

I did this for square root functions so I thought it would work the same for thse kinds too

[mortal jolt]

you deal with it brooo i see the efforts

[vapid anvil]

Well there is no square root here

[zinc hare]

Yeah

So how would i determine the domain

[vapid anvil]

Well you can't have the denominator 0

First

And it can have negative values

Because there is no square root here

[zinc hare]

Ah i see

[vapid anvil]

The only value it can't have is 0

[zinc hare]

Yes

[vapid anvil]

Cause it will be undefined in that case

$x^2 + 4 \neq 0$

[flat frigate]

ColdTee

[vapid anvil]

And the only way you can have it 0 is when x is imaginary

So this is defined for all real numbers

Domain is all real numbers in that case

[zinc hare]

Okay I see

Thanks for explaining that

for range would it be the same?

[vapid anvil]

Since you know the domain is all real numbers

You can find out the range yes?

Start with 0

What do you get when you put 0 as a value for x

[zinc hare]

You get 3/4

[vapid anvil]

Yes and what about when x = 1

[zinc hare]

3/5

[vapid anvil]

Notice that x = 1 and x = -1 will give the same result

Because of square term in denominator

[zinc hare]

Oh I see that

[vapid anvil]

Now you have to see that

For all numbers greater than 0 as input

The result will be less than 3/4

Cause as the denominator gets very large and numerator remains same the number as a whole keeps getting smaller

Say x = 2

3/8

Which is less than 3/4

[zinc hare]

Okay yes I see

[vapid anvil]

So what do you think the range will be

[zinc hare]

Is it (0,3/4]

?

[vapid anvil]

Yes it is

[zinc hare]

Ohh

Okay okay

So is there like a concrete method to find the domain and range for every function or does it change based on the function

Because I know for the square root ones I do the function > 0 to find the domain

[vapid anvil]

Yeah cause square root is defined for positive real numbers

Actually

It is only > 0 when in the denominator

For instance $y = \sqrt{x}$

[flat frigate]

ColdTee

[vapid anvil]

Can have $x\geq0$

[flat frigate]

ColdTee

[vapid anvil]

Not just > 0

[zinc hare]

Ah right right

[vapid anvil]

You can't have 0 in denominator ever remember that

[zinc hare]

Alright

[vapid anvil]

And you can't have negative inside square root

Ever

And if there is square root in denominator then you can't have it negative nor 0 so > 0 in that particular case

Hope you understand

[zinc hare]

Yes I undersstand what youre saying

Thanks

[zinc hare]

How about for problems like these?

What method would I use?

[vapid anvil]

Well what do you see

You see x term in denominator right?

[zinc hare]

Mhm

[vapid anvil]

You can't have 0 for denominator like I said

So that's the only condition

For this question

You have to watch out for absolute value questions

They are a pain

But I think that is not taught yet

For you

[zinc hare]

Okay okay

[zinc hare]

Got it

So for that problem is it possible to do x^2 + 4 > 0 ?

Because the only condition is to not have 0 in the denom

[vapid anvil]

Well are you forgetting negative numbers

[zinc hare]

Ohh

[vapid anvil]

x^2 + 4 < 0

That can be possible too

[zinc hare]

So is that why its all real numbers then?

[vapid anvil]

Yes

[zinc hare]

Ah okay

[zinc hare]

Sorry going back to this quesiton

How would I find the intercepts?

[vapid anvil]

Equate x = 0

To find y intercept

[zinc hare]

So (0,3/4) ?

[vapid anvil]

Yes

[zinc hare]

Okay got it

What about for the x-intercept?

[vapid anvil]

I don't think it has any x-intercept

Equate y = 0

What do you get

We get very close to 0 but never 0

That's why the range was (0,3/4]

Not [0,3/4]

[zinc hare]

Ohhh

So that’s why there’s no x-int

[vapid anvil]

Yeah

[zinc hare]

Okay okay

Thanks a lot for the help!

[vapid anvil]

Np

[zinc hare]

.close

[safe radish]

Channel closed

Closed by @zinc hare

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
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• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[vernal zephyr]

A parachutist is descending vertically. How far does the parachtist fall as the angle of elevation changes from 50 degrees to 30 degrees which is observed from a point 100m away from the feet of the parachutist when he touches the ground.

[vernal zephyr]

<@&286206848099549185>

[lean otter]

they still make yall do that question

[vernal zephyr]

in maths

[lean otter]

lol

i remember doing that same question 3 yrs ago

[vernal zephyr]

exactly same question

??

[lean otter]

diff numbers prolly

but otherwise same

[vernal zephyr]

gonna help me with the solution ??~

pls

[lean otter]

lemme see if i can pull up an old problem

cuz i barely remember it

[vernal zephyr]

thanks ;>

[lean otter]

im assuming it has to do with trig

[vernal zephyr]

duhh

of course

its a trigonometry question

[lean otter]

rip

[vernal zephyr]

dont tell me ydk trig

[lean otter]

🙄

ik trig

[vernal zephyr]

Then will you help me pwease

pwweeaaaseee 🥹

A parachutist is descending vertically. How far does the parachutist fall as the angle of elevation changes from 50 degrees to 30 degrees which is observed from a point 100m away from the feet of the parachutist when he touches the ground.

[lean otter]

let me think 💀

so would

tan(50)=x(1)/100

and tan(30)=x(2)/100

and x(1)-x(2)

work

[vernal zephyr]

x is the perpendicular?

[lean otter]

yh

the distance from the ground to the parachute

so the 1st equation is at 50 degrees

[vernal zephyr]

we need to find how far the guy falls

not his height tho

[lean otter]

from those 2 places right

so 1st u fnd the full height where he is

at then the full height where he is at at the 30 degree angle

the distance betweent he 2 is where he's falling

right?

like if he's 2000 feet high at 1, and 1000 at the other, he fell 1000 feet

[vernal zephyr]

Do we need to find the horizontal distance or the vertical distance?

[lean otter]

i assume the horizontal

cuz he's falling downwards

and the dude watching is 100m away

so its js a triangle

x is the height

100 is the base

[vernal zephyr]

but x is pperpendicular distance

[lean otter]

u dk the hypotenuse

u know 1 angle

[vernal zephyr]

its verticalll

[lean otter]

use sohcahtoa

whattt

no

x is js random

ass

variable

ok make it z

is that better

its js that side that u dk

[vernal zephyr]

js = just ??

[lean otter]

yes

[vernal zephyr]

look

tan is equal perp/base

perp is perpendicular (duhh ofc)

now if we're finding x (or z whatsoever) , we're basically finging a vertical distance

but a horizontal distace is required in the question

[lean otter]

yes

hold on

[tight void]

ong

you tell em

[lean otter]

OK

LOOK

tangent is

opposite over adjacent

correct?

[vernal zephyr]

help meeeeeeeeeeeee

[vernal zephyr]

you have don it like that 😭

[tight void]

aight bet bet

[lean otter]

yes

[vernal zephyr]

i have memorized it as perpendicular divided by base

😭

[tight void]

very good job

that works too

[vernal zephyr]

tell me the solutionnnnnnnnnnnnnnnnn

[lean otter]

idk how to rotate the img

[tight void]

,rotate

[tight void]

IGU

[tight void]

yeah okay let me see

[lean otter]

no

make him

do it

himself

bro

[tight void]

yeah I'm just going to help

[vernal zephyr]

why 😿

[tight void]

but without sending a thousand messages

[lean otter]

does this make sense tho

[vernal zephyr]

🤣

[lean otter]

opposite over adjacent

[lean otter]

blocked

[tight void]

goddan Alana is doing a good job tho

with the images

you should look at the image

[lean otter]

i dont do well with words, more of a visual person

[vernal zephyr]

ly ya alana for the effort ❤️

[lean otter]

ok but do u get what im saying

[vernal zephyr]

it makes complete sense

[lean otter]

uh huh

[tight void]

you're like my lil bro

it's kinda funny

anyway if you look at alana's diagram

you want a relation between x, a and the angle of elevation

[vernal zephyr]

tbh i drew the same diagram after reading the question

[tight void]

there is a trig function that can help you here

[vernal zephyr]

tangent

but i doubt that we need to find x

[tight void]

okay give me $tan(\theta)$ where $\theta$ is the angle of elevation

[flat frigate]

nosqldb

[vernal zephyr]

x is a pependicular distance

we need a HORIZONTAL DISTANCE

[lean otter]

NO U DONT

[tight void]

let's reread this question

A parachutist is descending vertically. How far does the parachutist fall as the angle of elevation changes from 50 degrees to 30 degrees which is observed from a point 100m away from the feet of the parachutist when he touches the ground.

so when he falls down to the ground

[vernal zephyr]

ezplain pls 😿

[lean otter]

how far does he fall vertically

[tight void]

he is 100 m from the reference point

[lean otter]

he's descending

VERTICALLY

[tight void]

SO we know that horizontal distance is 100 m

it's given in the problem

[vernal zephyr]

so thats the question??

[lean otter]

like if u drop a ball, how far is it dropped

yes

thats the

question.

[tight void]

good job mystic

[vernal zephyr]

Ohhh

So its a wording error

[tight void]

no it's not

[vernal zephyr]

its the question makers fauly guys

[lean otter]

no, its js u

[tight void]

that's just rude

[tight void]

mhm

[lean otter]

[tight void]

it's the question makers fault

[vernal zephyr]

🤣

[lean otter]

quit feeding his delusional mind

smh

[tight void]

anyway let's continue solving the q

[vernal zephyr]

nah nah it aint rude im not that soft

lol

[tight void]

without sending a million messages

[lean otter]

...

[vernal zephyr]

ok

[tight void]

so tan(\theta) =__

in terms of x and 100

[vernal zephyr]

tan of 50 or tan of 30??

[tight void]

just a general expression

that's why I included the variable theta

[lean otter]

u have to find both, and find the difference. the full distance he is from the ground,a nd the end distance when he reaches the 30 degrees.

[tight void]

btw do you know mystic

like are they ur younger siblings or sm

[vernal zephyr]

Who??

wdym by they

[tight void]

nah this whole convo is odd

[tight void]

didn't want to assume gender

[vernal zephyr]

Why ???

its fineeeeeeeeeee

[tight void]

aight mystic I will give you the scaffolding

[vernal zephyr]

why do yall get offended on tiny things man

[vernal zephyr]

what?

[tight void]

the structure to solve this problem

basically for the first scenario

[vernal zephyr]

i mean i think i got it

alana did a very clean diagram

[tight void]

yeah she did a great job!

[vernal zephyr]

pls

explain to me

i also wanna see your perspective

[tight void]

so when you drop with a angle of elevation of 30 degrees

you drop tan(30) = x/100; x = 100 tan(30) meters

you can use the same logic with the other scenario

[vernal zephyr]

sine OR tan??

[tight void]

and just substract those two values!

[tight void]

tan my bad

[vernal zephyr]

we need to find the difference of both values??

[tight void]

mhm

[vernal zephyr]

ok ill solve it and ping you after im done

is that alr??

[tight void]

mhm

[vernal zephyr]

thx

[tight void]

thank you @lean otter for helping in the process

[vernal zephyr]

ayo

wait

[tight void]

I was really joking about the spamming messages

[vernal zephyr]

the distance is negative

[tight void]

mhm

[vernal zephyr]

howw

[tight void]

you subtracted the wrong ones lol

[vernal zephyr]

nah im telling you before subtracting

one of the valyues is -27.16

[tight void]

what did you plug in

[vernal zephyr]

oh waitttttttt

my calculator was in radians the whole time

[lean otter]

nope

never met him in my life

mb, i went to eat

[tight void]

but yeah mystic is doing well

[vernal zephyr]

idk why he thinks you my sis lol

[tight void]

^ and this

[tight void]

you guys just seem close anyway

what did you get when you change it to degrees

[vernal zephyr]

[lean otter]

its cuz im being so nice 🥰

like the caring older sister none yall losers ever had

[tight void]

I had a loving sister who played me tswift

when I was a kid and kept me fed

[lean otter]

had

?

[tight void]

she's married now 😦

[vernal zephyr]

the answer is 61.47

[lean otter]

lolll

[tight void]

YES

[lean otter]

im not the oldest but i never rlly talked to older my brother

so im the odlest

[vernal zephyr]

oh my god guys

[lean otter]

WAY TO GET ITTTT

[vernal zephyr]

you two are geniuses

[lean otter]

[vernal zephyr]

its CORRECT

[tight void]

nah that was all you

and the problem maker

[vernal zephyr]

🥳

[tight void]

was so stupid

smh

[lean otter]

do u understand it

[lean otter]

sure buddy

[tight void]

my sister is a genius

[lean otter]

lol

[vernal zephyr]

i mean it got solved tho! who cares about understanding lol

[tight void]

I sometimes call her up and she buys me pizza to my dorm room

[tight void]

bro 💀

[lean otter]

my brother's a genius but he hasnt responded to my text for the past 2 yrs

[lean otter]

...

man

sit down

what do u not get

[vernal zephyr]

sorry sister i understood it i was jk

and also

i dont have an older sister

[tight void]

aww

[vernal zephyr]

im the oldest haha

[lean otter]

nice nice

how many younger siblings tho

[tight void]

you did a fine job

[vernal zephyr]

2 bros one sis

[tight void]

I have an older brother, sister and a younger brother

my younger brother is exactly like mystic

bro just wants the answer fr

[vernal zephyr]

wbu alana sis

[lean otter]

mystic gave off middle or youngest child vibes ngl

i have an older brother (we was raised as twins tho) and a lil sis

[vernal zephyr]

[tight void]

mystic prob likes ronaldo and has a pfp of him on his laptop

he def plays fortnite

[lean otter]

see what i mean

[tight void]

and he def hates math

[lean otter]

ong

[tight void]

how close was I mystic

[lean otter]

agreed

[vernal zephyr]

you mean i acting immature???

[lean otter]

spoiled child vibes

[tight void]

alana is so rude fr

maybe she was the spoiled child

[lean otter]

i def was not

💀

[vernal zephyr]

i mean i wanted the answer, thats why i was rushing so much lol

[tight void]

mhm I get it man

[lean otter]

ok but did u understand it?

[tight void]

he did solve it in the end

so he must have understood it

[lean otter]

if u get hte logic now, math will be so much easier later on

[vernal zephyr]

yes but yk you guys

[lean otter]

otherwise late on

u'd have to learn this as well as wtv else u have

it'd be 20x harder

[vernal zephyr]

this discord thing takes so much tim

time

[lean otter]

it rlly does

[tight void]

my mom used to make me do kumon next to her

[vernal zephyr]

it took me 30 mins to solve a single question

[tight void]

and when I used to get a question wrong

she would yell at me and I would cry

[lean otter]

kumon?

[tight void]

now I'm good at math

[vernal zephyr]

what is a kumon

im assuming its a new pokemon

[tight void]

it's like math worksheets

anyway this is TMI

[lean otter]

i spent 90% of my freetime tutoring friends so i understood the logic a lot better

[lean otter]

rip

[vernal zephyr]

tutoring for free ??

[lean otter]

we getting into traumatic backstory

[lean otter]

oui

[tight void]

fr I would have took money from my friends

[lean otter]

💀

[vernal zephyr]

i mean gotta earn some money if youre giving some time lol

[lean otter]

its fun tho

so i dont have reason to take moola

[vernal zephyr]

moola = monehh

[lean otter]

fair, im tryina find a new job rn, its js a pain asking ppl to pay for it

and saying no if they dont

[tight void]

I have a sad life story

[lean otter]

im not good at that

[vernal zephyr]

what did you study

[lean otter]

ah

[vernal zephyr]

arent you undergrad rn

[lean otter]

same, i get u

[lean otter]

im starting my 1st yr of next semester

im a senior rn

[vernal zephyr]

everyone's sad, why is my life amazing??

[lean otter]

imma study architecture

[vernal zephyr]

architecture??

[lean otter]

ouiii

what grade r u in mystic

[vernal zephyr]

you be designing houses??

[lean otter]

smday

[vernal zephyr]

high school

[lean otter]

🤞

[vernal zephyr]

2nd last year of high school

[lean otter]

junior yr

i loved junior yr

[vernal zephyr]

yup i hope u rlly do sis

[lean otter]

mr penguin disappeared

[tight void]

bnack in elementary school

I went to mathcounts state qualifier in california

and then I bombed it

[vernal zephyr]

the questions were easy back then??

[tight void]

and after that, my life has been not so good

I made it here to UMich

ig

and it's fun here

[lean otter]

u rlly wanna go tmi in a public server

but umich?

[tight void]

mhm

[lean otter]

never heard of it

[vernal zephyr]

tmi = ?????

[tight void]

it's like a public school

[tight void]

too much information

[lean otter]

university of michigan?

[tight void]

yeah lol

[lean otter]

my cousin goes there

[tight void]

I like it here

it's fun

[vernal zephyr]

you in uni penguin??

[tight void]

mhm

[vernal zephyr]

bruh i feel smol

[lean otter]

yh, i took the class ur taking in my 1st yr of high school tho

[tight void]

I study CS + business with a minor in math

[vernal zephyr]

infront of you two

[lean otter]

thats good

what yr r u in

[tight void]

1st year

[lean otter]

ohhhh

say hi to my cousin for me

[vernal zephyr]

where do you guys live

[lean otter]

tell her i hate her

[vernal zephyr]

im Asian

[lean otter]

she's mean

[lean otter]

u live in asia??

[tight void]

wait mystic

[vernal zephyr]

she would tell on your mom 💀

[tight void]

do you know tsinghua university

[lean otter]

idgaf

[vernal zephyr]

and i dont want that sis

[tight void]

ong she would

[lean otter]

my mum knows

her mum knows

everyone knows

she's a btch

[tight void]

I'll tell her to tell your mom that you go to SAE every weekend

[vernal zephyr]

yea i mean whats bad about it??

[tight void]

nothing ofc

[vernal zephyr]

lifes good

[lean otter]

SAE?

[tight void]

it's a frat

[lean otter]

nth, js thats cool

[lean otter]

oh

ew

wtf

[tight void]

mystic

I want you to grow up a smart man

[vernal zephyr]

sister will you swear infront of your younger brother ?

[lean otter]

r u a frat boy penguin sir

[lean otter]

there's no i

its ok

[tight void]

what do you mean by a frat boy

[lean otter]

ok nth against frat boys

my old prom date was

a frat boy

[tight void]

mystic

you should friend me

[lean otter]

but id never join a fraternity

[vernal zephyr]

so you mean i aint smart rn?? 🙄

[lean otter]

yes

thats what

he's

saying

u should be

[tight void]

nah you wanna get smarter tho

[lean otter]

offended

[tight void]

like terrence tao

[lean otter]

block him

he's mean

[tight void]

I think mystic is the new terrence tao

[lean otter]

who's terrence tao

[vernal zephyr]

Do you guys know each other

[lean otter]

yh

[tight void]

no

[vernal zephyr]

i feel like you do

[lean otter]

he my childhood crush

i sold him carrots under the slide

int he playground

[vernal zephyr]

sister would you rlly say such things to your younger brother??

[tight void]

yeah blud is weird 💀 fr

[lean otter]

😭

[vernal zephyr]

call me stupid call me a dork call me immature

i wonnt get offended

xu

[lean otter]

ok idiot

[tight void]

okay mystic

I'm curious

[vernal zephyr]

cuz guys ik that the inernets a weird place

[tight void]

do you know what a divisor is

[lean otter]

😭

[vernal zephyr]

sis that wasnt good

[lean otter]

it is

[vernal zephyr]

i didnt expect that from my bigger sis

[lean otter]

have u heard the song

welcome to the internet