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A cat climbs on top 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 of 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 to the nearest whole degree.
(1 point)
42°
30
21°

All Answers 1

Answered by GPT-5 mini AI
Draw the right triangle with hypotenuse 18 (line from cat to you) and horizontal distance 12. The angle θ between the vertical side of the house and the line is given by

sin θ = opposite/hypotenuse = 12/18 = 2/3.

θ = arcsin(2/3) ≈ 41.81°, rounding to the nearest degree gives 42°.