Question

What is the m∠R? Round your answer to the nearest tenth. *

A) 35.4°
B) 50.6°
C) 23.6°
D) 67.4°

Answer 1

D) 67.4°

Explanation:

by observation, and noting that triangle PQR is a right triangle

sin R = opposite length / hypotenuse

in our case, the hypotenuse is PR = 13 and the length opposite form R is QP = 12

hence

sin R = opposite length / hypotenuse

sin R = 12/13

R = sin⁻¹ (12/13) = 67.4⁰