SOH CAH TOA

[harsh sentinel]

<@&286206848099549185>

can y'all help me with this, it requires the base and height and it should use the soh CAH toa first, thank you!!

I'm eternally grateful if you will explain it to me, can't understand a single thing even if I watch on YouTube ahhhh🥲🥲

[icy kettle]

did you understand soh cah toa?

[harsh sentinel]

yeah I know soh CAH toa

but i cant understand any single thing of that math problem

[icy kettle]

so were u able to find the base and height?

[harsh sentinel]

😭😭😭😭

[icy kettle]

oh

[harsh sentinel]

no

[icy kettle]

ok so since we have the angles

we can use trignometric formulas to find the base and height

are you allowed to use a calculator?

[harsh sentinel]

yes hehe

[icy kettle]

ok so focus on the angle 22°

[harsh sentinel]

ok and

[icy kettle]

tell me what the opposite adjacent and hypoteneuse are

for this angle

[harsh sentinel]

theeee adjacent is the top one

the longer line is the hypotenuse

then the opposite is on the side

[icy kettle]

yes

[harsh sentinel]

like the standing one line

[icy kettle]

now what is sine?

[harsh sentinel]

I don't know sir 😭😭😭

IM SORRY

[icy kettle]

sine from soh

its fine just chill

sin

from soh

is sin = opposite/hypoteneuse

[harsh sentinel]

ah yes then the cosine is a/h

[icy kettle]

yes

[harsh sentinel]

am I right

[icy kettle]

now can you think of a way to determine sin 22°?

[harsh sentinel]

no sir😭

[icy kettle]

calculator

[harsh sentinel]

i don't actually own a scientific calculator and I don't have one

[icy kettle]

you can use one on your computer i suppose

[harsh sentinel]

im on mobile any suggestions sir hehe

[icy kettle]

is it an android phone?

[harsh sentinel]

yes sir

[icy kettle]

yea so u can use the calculator on your phone

make sure u set it to degrees

before starting

[harsh sentinel]

what should I do next sir

figure out the uhmm soh cah toa?

[icy kettle]

find sin 22

using ur calculator

if you dont get it send me a ss of ur calculator app

[harsh sentinel]

it's just the simple calculator with the plus and other thingy

i cant figure it out

[icy kettle]

did u try rotating your screen

[harsh sentinel]

yes

it didn't work

[icy kettle]

hmm

u can google it

but i will provide u the values for now

[harsh sentinel]

ok ok

ok thank u so much

[icy kettle]

sin 22° is 0.374

now we have opp/hypoteneuse

and we know it is equal to 0.374

[harsh sentinel]

yes yes

it's the same?

[icy kettle]

can you write this data as an equation?

yes

[harsh sentinel]

ok ok

[icy kettle]

0.374 = opp/200

did you get this?

[harsh sentinel]

yes yes

[icy kettle]

ok now can you find opp with this?

[harsh sentinel]

yes?

[icy kettle]

find opp then

thats your left side line

[harsh sentinel]

68?

[icy kettle]

opp = 0.374*200

take 200 to the other side

thatll become multiplication

so thats opp = 200*0.374

which is 74.8

so this is your opposite

[harsh sentinel]

what about the tangent

[icy kettle]

tan of 22?

[harsh sentinel]

ok wait let me write it down

done

[icy kettle]

cos 22° is 0.927

now similarly find your adjacent

let me know if your stuck

[harsh sentinel]

yeah very stuck

im having the language barrier ova there

im sorry

[icy kettle]

its alright

whats your native language tho

so cos is your adjacent / hypoteneuse

[harsh sentinel]

filipino

[icy kettle]

which is the top side / long side

[icy kettle]

oh

[harsh sentinel]

we done at the sine ryt?

[icy kettle]

yes

[harsh sentinel]

we at the cos now?

[icy kettle]

yes

we are using cos

now

to find the upper side

which we call adjacent to the 22° angle

[harsh sentinel]

right

soo we using theeee uhmmm the same way how we figured out the sin?

[icy kettle]

so i told u cos 22 is 0.927

yes

we know cos 22 is 0.927

[harsh sentinel]

yes yes

[icy kettle]

but at the same time it is adjacent/hypoteneuse

and we know hypoteneuse is 200

the long side

[harsh sentinel]

correct yes

[icy kettle]

so we can say 0.927 = adjacent/200

right?

[harsh sentinel]

yes and we move it again?

[icy kettle]

yes

[harsh sentinel]

wait let me figure out

soo its adjacent = 0.927*200?

am I right

[icy kettle]

yes

perfect

[harsh sentinel]

then uh multiply it?

[icy kettle]

yes

[harsh sentinel]

ok wait

let me figure out tell me if correct

[icy kettle]

ok sure

take your time

[harsh sentinel]

adja = 200*0.927
185.4

is it correct

[icy kettle]

yes

and thats your adjacent

[harsh sentinel]

yess and we done at cos?

[icy kettle]

the upper side

yes

[harsh sentinel]

ay ok

[icy kettle]

we found both our sides now

[harsh sentinel]

now we at tangent

or not?

[icy kettle]

we dont need it for now

now we have the sides of the triangle

now did you read the paragraph?

[harsh sentinel]

uhm yes

we need to figure out the uhm

[icy kettle]

what they asked?

yea these paragraphs are twisted for no reason

basically

3 men are trying to buy land

from that triangle plot

they all want their land to be connected to the sides of the triangle

so we have to divide it based off their requirements

first man wants it to be 500-750 sq. m

second is 750-850

third is 850

[harsh sentinel]

correct sir

[icy kettle]

so our goal is to divide this area

so which man's area do u want to fit first

[harsh sentinel]

yes that's the part i don't really know how to figure it out

[icy kettle]

1,2,3?

[harsh sentinel]

first sir

[icy kettle]

i would pick 3

take a guess why

[harsh sentinel]

the bigger meter?

or higher?

why ??

[icy kettle]

the first 2 men

say then want in a range

like if i say

i want 2-4 oranges

it means i want either 2,3,4 oranges

im saying i want it in a range

of 2 to 4

[harsh sentinel]

ok ok understood

[icy kettle]

so if i say i want 2-4

my friend wants 3-5

and someone wants 2

and u only have 6 oranges

who do u give to first

[harsh sentinel]

third one

[icy kettle]

because its easy

[harsh sentinel]

he don't want it in a range?

[icy kettle]

right

[harsh sentinel]

yes yes

[icy kettle]

yes

he is fixed at 2

[harsh sentinel]

wow this is good

[icy kettle]

now we adjust between me and my friend

who want a range

imagine it like 3 sliders

our last slider is fixed

other 2 now we adjust

till it is just right

[harsh sentinel]

yes yes ok

[icy kettle]

now

we know third person is fixed

at 850

so we find an area of 850 for him

in that land

where would u put it

[harsh sentinel]

ok ok im ready

[icy kettle]

ok good

[harsh sentinel]

put what the 850?

how😭

[icy kettle]

yea im gonna come to that

so he wants land of 850 sq m

can you think of any way to put a triangle in it that is 850 sq m

[harsh sentinel]

no sir

i don't think of any for real

😭

[icy kettle]

ok its alr

ill explain this too

so i picked a triangle

[harsh sentinel]

ok ok thnk u very much

[icy kettle]

because i can put one triangle

of 850

and then adjust the other 2 areas

till it is just right

so in one corner

i will have the third mans land

that will be fixed and we can ignore it

and look at the remaining land

like in our orange example

once u give 2 oranges to the third person

u now sit and figure out how to distribute the other 4

[harsh sentinel]

it's fixed?

WAIT WAIT

[icy kettle]

yes ok

[harsh sentinel]

I can't understand how do I put this visually on my mind

[icy kettle]

hmm

ok take a grid

of 4x4

[harsh sentinel]

ok wait

[icy kettle]

let me make one

[harsh sentinel]

im done with my grid sir

[icy kettle]

now if i say

i want to fit few shapes in it

and i want to place one square of 4 units

where is the best place to put it

[harsh sentinel]

at the side

corner

???

[icy kettle]

yes

but why corner

[harsh sentinel]

hmm because uhhh it doesn't take a bigger space or??

[icy kettle]

because like this we have more empty space to put different shapes

[harsh sentinel]

wow ok understood

[icy kettle]

with something like this

itll be hard to place more squares

if i give u 3 more squares of the same size

u wont be able to place them

[harsh sentinel]

yeah evenly

[icy kettle]

yea

[harsh sentinel]

oh okkkk this is good

[icy kettle]

so back to our triangle

we'll take a triangle at the corners

why

?

[harsh sentinel]

uhm 😭

[icy kettle]

so we fill that entire area

if u have gaps it becomes difficult right

[icy kettle]

like here

[harsh sentinel]

yeah ok ok

wait do we need computations for this prob?

or just sketch and shapes.

?*

[icy kettle]

we need both

we need to specify how big our triangle is

by taking its area

[icy kettle]

now look at this triangle

it fits quite nicely right

[icy kettle]

just like our square did here

did u understand?

[harsh sentinel]

yeah yeah

ah so we just fill triangles in it?

[icy kettle]

we fill 2

one on top right

one on bottom left

the remaining area cant be a triangle its not possible

let me show u why

[harsh sentinel]

okay okay

[icy kettle]

like this

so we adjust the big triangle

till that and the remaining area satisfy the 2 men

who wanted in a range

now first we need to find the size of the small triangle

of man 3

[harsh sentinel]

ok sir continue

i understood

[icy kettle]

now our area is 850 sq m

what is the formula for area of a triangle

[harsh sentinel]

base and height/ 2

ay wait

base x height / 2

[icy kettle]

yes

now we know base x height /2 = 850

[harsh sentinel]

ahh so we will figure it out

[icy kettle]

yes

now remember as base increases height will increase too

because its a right angle triangle

[harsh sentinel]

ok ok

yes yes

[icy kettle]

so did u find it

or are you still working on it

[harsh sentinel]

i cant figure out sir for real

[icy kettle]

its alr

its a bit complicated

but how long do you have for this assignment?

[harsh sentinel]

uhmm so i should turn this on in wednesday

tha only day we have face to face classes

[icy kettle]

oh

[harsh sentinel]

i really wanted to finish early so i don't want any pressures haahhaha

[icy kettle]

i need to sleep because its 11 PM for me

[harsh sentinel]

okay okay can we continue tom😭

i really need help

it's okay if not hehe

[icy kettle]

ok

https://mathbitsnotebook.com/Geometry/TrigApps/TAarea.html

heres an article

[harsh sentinel]

ok ok my assignment is to figure it out right

anyways, thankyou for the helppp!!

[icy kettle]

this assignment tells u that ab/2sinC is your area

it will explain why

absinC /2 *

my bad

[harsh sentinel]

ok ok

thankyou sir

[icy kettle]

np

i will get back to you tomorrow

our time zones are similar i believe

mines IST

[harsh sentinel]

Indonesia?

[icy kettle]

india

[harsh sentinel]

hope tha both side or ur pillow cold

thenk u very much

[icy kettle]

np

the ending of the problem is pretty simple actually

we put 2 triangles on both corners

one is of fixed area

other we find using some algebra

it needs some logic

but we'll get it

[harsh sentinel]

algebra damn

okay okay

[harsh sentinel]

hi I'm gonna wait

[icy kettle]

hello

[harsh sentinel]

hii

so where we at now

[icy kettle]

so now we have to find the dimensions of the third triangle