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. A. 34. B. 90. C.12. D. 78.

Answer 1

Interpret the angle "where the ladder rests on the house" as the angle at the top between ladder and wall. In that triangle, sin θ = opposite/hypotenuse = 4/20 = 0.2. So

θ = sin⁻¹(0.2) ≈ 11.54° ≈ 12°.

Answer: C.