Question

Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)

A right triangle is shown with one leg measuring 8 and the hypotenuse is labeled 13. An angle that is not 90 degrees is marked y.

Answer 1

@ganeshie8

Answer 2

SOH-CAH-TOA

Answer 3

goto the given angle corner of the triangle, then stare at the triangle from there

Answer 4

adjacent side = 8
hypotenuse = 13

which trig ratio involves these two sides ?

Answer 5

cosine

Answer 6

yes! apply cosine ratio and solve the unknown angle

Answer 7

\[\large \begin{align} \\ \cos(y) &= \dfrac{\text{adjacent}}{\text{hypotenuse}} \\
&= ?

\end{align}\]

Answer 8

8/13

Answer 9

0.615

Answer 10

\[\large \begin{align} \\ \cos(y) &= \dfrac{8}{13}

\end{align}\]

Answer 11

but our goal is to find the angle \(\large y\), right ?

Answer 12

yes

Answer 13

take \(\large \cos^{-1}\) both sides :

\[\large \begin{align} \\ y &= \cos^{-1}\left(\dfrac{8}{13}\right)

\end{align}\]

Answer 14

use ur calculator ^^

Answer 15

http://www.wolframalpha.com/input/?i=cos%5E%28-1%29%288%2F13%29

Answer 16

52.02

Answer 17

Yep ! 52.02 degrees

Answer 18

its already rounded ?

Answer 19

nearest hundredth means two digits after decimal point,
so yes :)