Question

A 15-foot ladder is leaning against a tree. The base of the ladder is 8 feet away from the tree base. Using the inverse of sine, what is the approximate angle between the ladder and the tree? (1 point)
Responses

58°
58°

25°
25°

90°
90°

32°
32°

Answer 1

Let θ be the angle between the ladder and the tree. Then sin θ = opposite/hypotenuse = 8/15, so

θ = arcsin(8/15) ≈ 32°.

Answer: 32°.