Question

In ΔOPQ, the measure of ∠Q=90°, QO = 61 feet, and OP = 83 feet. Find the measure of ∠O to the nearest tenth of a degree.

Answer 1

Answer:

∠ O ≈ 42.7°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos O = $\frac{adjacent}{hypotenuse}$ = $\frac{QO}{OP}$ = $\frac{61}{83}$ , thus

∠ O = $cos^{-1}$ ( $\frac{61}{83}$ ) ≈ 42.7° ( to the nearest tenth )