Question

Find the measure of angle y. Round your answer to the nearest hundredth.

Answer 1

@mathslover

Answer 2

$$13\cos x = 8$$
This is true, because the length of the hypotenuse multiplied by the cosine of the angle measure is the equal to the length of the adjacent side.
Basically, we want to isolate the cos(x) first.

Answer 3

So we solve as cos(x) = y.
$$13y = 8$$
We divide both sides by 13 to obtain y = 8/13. We're not done, however.

Answer 4

$$\cos y = \frac 8 {13}$$
We now take the inverse cosine of both sides to obtain the angle, y (sorry I've been using the wrong variables.)

Answer 5

its ok i understood anyway

Answer 6

So, I leave you with the easy part: What is $\cos^{-1} (\frac 8 {13})$?

Answer 7

so is it 52.02?

Answer 8

Oops. I forgot I'm not on math.stackexchange.com.

Answer 9

because i did 8/13 = 0.615

Answer 10

Yes, it's 52.02 degrees.

Answer 11

and then the inverse of cos

Answer 12

ok thanks i get it now

Answer 13

52