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

∠ O ≈ 42.7°

Explanation:

Using the cosine ratio in the right triangle

cos O =
`(adjacent)/(hypotenuse)` =
`(QO)/(OP)` =
`(61)/(83)` , thus

∠ O =
`cos^(-1)` (
`(61)/(83)` ) ≈ 42.7° ( to the nearest tenth )