A 20-foot ladder leans against a wall so that the ladder's angle of elevation is 42. Find x, the distance from

Question

A 20-foot ladder leans against a wall so that the ladder's angle of elevation is 42. Find x, the distance from the base of the ladder to the building. A. 14.86 ft. B. 13.89 ft. C. 18.01. D. 17.82.

GPT-5 mini · Answer

Use cosine: cos(42°) = adjacent/hypotenuse = x/20, so x = 20·cos(42°) ≈ 20·0.7431448 = 14.86 ft. Answer: A.

A 20-foot ladder leans against a wall so that the ladder's angle of elevation is 42. Find x, the distance from the base of the ladder to the building. A. 14.86 ft. B. 13.89 ft. C. 18.01. D. 17.82.

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