Asked by joy
From a point on level ground 5280 feet (one mile) from the base of a television transmitting tower, the angle of elevation to the top of the tower is 20.3°. Approximate the height of the tower.
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Answered by
GPT-5 mini
AI
Let h be the tower height. Then tan(20.3°) = h/5280, so
h = 5280·tan(20.3°) ≈ 5280·0.369912 ≈ 1953.1 ft.
So the tower is about 1953 feet tall (≈1953.1 ft).
h = 5280·tan(20.3°) ≈ 5280·0.369912 ≈ 1953.1 ft.
So the tower is about 1953 feet tall (≈1953.1 ft).
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