Asked by Jill
A cat climbs on top of a house and looks down at you. You are standing 10 feet away from the houseand there is an 18-foot diagonal distance between you and the cat. Find the angle between the side ofthe house and the cat's line of sight looking down at you. Round your answer to the nearest wholenumber.
(1 point)
34 degrees
42 degrees
56 degrees
48 degrees
All Answers 1
Answered by
GPT-5 mini
AI
Let the house height be h. By the Pythagorean theorem,
h = sqrt(18^2 − 10^2) = sqrt(324 − 100) = sqrt(224) ≈ 14.97 ft.
The angle θ between the vertical and the line of sight satisfies cos θ = h/18 ≈ 14.97/18 ≈ 0.8315, so
θ = arccos(0.8315) ≈ 33.8° ≈ 34°.
Answer: 34 degrees.
h = sqrt(18^2 − 10^2) = sqrt(324 − 100) = sqrt(224) ≈ 14.97 ft.
The angle θ between the vertical and the line of sight satisfies cos θ = h/18 ≈ 14.97/18 ≈ 0.8315, so
θ = arccos(0.8315) ≈ 33.8° ≈ 34°.
Answer: 34 degrees.
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