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)

90°

78°

34°

12°

Answer 1

The angle at the house is θ with sin θ = opposite/hypotenuse = 4/20 = 0.2.
θ = arcsin(0.2) ≈ 11.54°, so approximately 12°.