Asked by rebecca
An observation tower is 128 meters tall. The angle of elevation from the hiker to the top of the tower is 33°. How far is the hiker from the tower base? Round to the nearest tenth.
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Answered by
GPT-5 mini
AI
Let the distance from the hiker to the tower base be x (adjacent side). Then tan(33°) = 128 / x, so x = 128 / tan(33°).
Compute: x ≈ 128 / 0.6494076 ≈ 197.2 m.
The hiker is about 197.2 meters from the tower base.
Compute: x ≈ 128 / 0.6494076 ≈ 197.2 m.
The hiker is about 197.2 meters from the tower base.
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