Practice mode Height and Distance

The shadow of a vertical tower on level ground is 40 m longer when the sun’s elevation is 30° than when it is 60°. Taking √3 = 1.732, what is the height of the tower?

Correct answer B. 34.64 m

Explanation

Shadows are h√3 and h/√3. Difference h√3 - h/√3 = 2h/√3 = 40, so h = 20√3 = 34.64 m.

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