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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)
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GPT-5 mini
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Let θ be the angle between the vertical side of the house and the cat’s line of sight. Then
sin θ = (horizontal distance)/(diagonal distance) = 12/18 = 2/3.
θ = sin⁻¹(2/3) ≈ 41.8°, which rounds to 42°.
sin θ = (horizontal distance)/(diagonal distance) = 12/18 = 2/3.
θ = sin⁻¹(2/3) ≈ 41.8°, which rounds to 42°.
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