Question

Romeo owns a business that puts up and takes down holiday lights. He is working on a house and places the base of his 20-foot ladder at a 4-foot distance from the house. Using the inverse of sine, what is the approximate angle formed where the ladder rests on the house?(1 point)
Responses

78°
78°

34°
34°

90°
90°

12°
12°

Answer 1

Let θ be the angle between the ladder and the house. Then sin θ = opposite/hypotenuse = 4/20 = 0.2, so θ = sin⁻¹(0.2) ≈ 11.54°, which rounds to 12°.