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 five centimeters, Q R is equal to twelve centimeters and P R is equal to thirteen centimeters.

Answer 1

The measure of angle R is
`22.62\°`

Explanation:

we know that

In the right triangle PQR

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

so

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

substitute the values

`cos(R)=(12)/(13)`

`<R=arccos((12)/(13))=22.62\°`

see the attached figure to better understand the problem