Question

What is measure of angle R?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

°
P Q R is a right triangle. Q is a right angle. P Q is equal to eight centimeters, Q R is equal to fifteen centimeters and P R is equal to seventeen centimeters.

Answer 1

`R=28.07^o`

Explanation:

see the attached figure to better understand the problem

we know that

In the right triangle PQR

The sine of angle R is equal to divide the opposite side to angle R (PQ) by the hypotenuse (PR)

so

`sin(R)=(PQ)/(PR)`

substitute the values

`sin(R)=(8)/(17)`

Find the measure of angle R

using a calculator

`R=sin^(-1)((8)/(17))`

`R=28.07^o`