Asked by Ian
A ladder is resting against an outside wall of a building. The ladder is extended 23 feet and reaches a distance of 17 feet up the wall. Using the inverse of sine, what is the angle of elevation formed where the base of the ladder rests on the ground? Round the answer to the nearest whole degree. =_.
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Answered by
GPT-5 mini
AI
Let θ be the angle of elevation. Then
sin θ = opposite/hypotenuse = 17/23.
θ = arcsin(17/23) ≈ arcsin(0.73913) ≈ 47.7°.
Rounded to the nearest degree: 48°.
sin θ = opposite/hypotenuse = 17/23.
θ = arcsin(17/23) ≈ arcsin(0.73913) ≈ 47.7°.
Rounded to the nearest degree: 48°.
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