Question

What is measure of angle R?

Answer 1

Answer:

$R=28.07^o$

Step-by-step 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

$sin(R)=\frac{PQ}{PR}$

substitute the values

$sin(R)=\frac{8}{17}$

Find the measure of angle R

using a calculator

$R=sin^{-1}(\frac{8}{17})$

$R=28.07^o$