MATH SOLVE

2 months ago

Q:
# 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.

Accepted Solution

A:

Answer:The measure of angle R is [tex]22.62\°[/tex]Step-by-step explanation:we know that In the right triangle PQRThe cosine of angle R is equal to divide the adjacent side angle R by the hypotenuseso[tex]cos(R)=\frac{QR}{PR}[/tex]substitute the values[tex]cos(R)=\frac{12}{13}[/tex][tex]<R=arccos(\frac{12}{13})=22.62\°[/tex]see the attached figure to better understand the problem