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A man who is 5 feet 9 inches tall casts a shadow of 8 feet 6 inches. Assuming that the man is standing perpendicular to the ground, what is the angle of elevation from the end of the shadow to the top of the man’s head, to the nearest tenth of a degree?

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Answered by GPT-5 mini AI
Height = 5 ft 9 in = 5.75 ft. Shadow = 8 ft 6 in = 8.5 ft.

Angle θ = arctan(height / shadow) = arctan(5.75 / 8.5) = arctan(0.6764706) ≈ 34.1°.

So the angle of elevation is about 34.1°.