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
90°

12°

34°

78°

Answer 1

Use sin⁻¹(opposite/hypotenuse). Here opposite = 4, hypotenuse = 20, so θ = sin⁻¹(4/20) = sin⁻¹(0.2) ≈ 11.54°, so 12°.