help

[obsidian moon]

What do you notice about the angle measures in the triangle?

[placid anchor]

Sum of angles on a triangle would be 180

So, we know that we got 60 and 90, so we need a 30 to get 180

It's just sin and cosine

we are here to help, not to do homework

If you solved one, then you can solve all other ones, its same for all

[limber canopy]

Just apply the properties of special right triangles

[obsidian moon]

Just use special right triangles

[obsidian moon]

Yes

[limber canopy]

Rules of 30-60-90

Hypotenuse = 2(Short Leg)
Short Leg = Hypotenuse/2
Long Leg = (Short Leg) x  √3```

So you kind of just have to work backwards

We are given 8 √5

So we divide 8 √5 by 2 and that gets us 4 √5
We can then proceed to find the long leg which we know from the rules is the short leg x √3 so when we put that into play we do:
4 √5 x √3 = 4 √15

All you have to do is follow the rules and you can use trig functions to check your work

Hope that helps @limber canopy

[steel condor]

.solved