Question

A cat climbs on the roof of a house and looks down at you. You are standing 12 feet away from the house and there is an 18-foot diagonal distance between you and the cat. Using the inverse sine function, find the angle between the side of the house and the cat's line of sight looking down at you. Round your answer tot he m=nearest whole degree.(1 point)13°42°6°48°

Answer 1

Let θ be the angle between the vertical side of the house and the cat's line of sight. The horizontal distance is 12 and the hypotenuse is 18, so

sin θ = 12/18 = 2/3.

θ = arcsin(2/3) ≈ 41.81°, which rounds to 42°.