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.

Answer 1

The measure of angle R is
`28.07\°`

Explanation:

we know that

In the right triangle PRQ

The cosine of angle R is equal to the adjacent side angle R divided by the hypotenuse

so

`cos(R)=(QR)/(PR)`

substitute the values

`cos(R)=(15)/(17)`

`R=arccos((15)/(17))=28.07\°`