Question

In ΔQRS, the measure of ∠S=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure of ∠R to the nearest tenth of a degree.

Answer 1

57.6°

Explanation:

It is always helpful to draw a picture. Also, you need to memorize all the definitions of the trig functions. For example,

sine of an angle = opposite side/hypotenuse

In your case, SQ is opposite side to angle R and QR is the hypotenuse

Therefore, sin R = 6.5/7.7

m∠R = arcsin (6.5/7.7) = 57.6°