Question

A)
A ladder is resting against an outside wall of a building. The ladder is extended 23 feet, and reachesa distance of 17 feet up the wall. Using the inverse of sine, what is the angle of elevation formed wherethe base of the ladder rests on the ground? Round your answer to the nearest whole degree.
(1 point)

Answer 1

Let θ be the angle. Then sin θ = opposite/hypotenuse = 17/23, so

θ = arcsin(17/23) ≈ arcsin(0.73913) ≈ 47.8°.

Rounded to the nearest degree: 48°.