Practice mode Height and Distance

From a point on level ground, the angle of elevation of the top of a tower is 30°. On walking 40 m straight towards the tower, the angle of elevation becomes 60°. Taking √3 = 1.732, what is the height of the tower?

Correct answer D. 34.64 m

Explanation

If h is the height, h√3 - h/√3 = 40, so 2h/√3 = 40 and h = 20√3 = 20 x 1.732 = 34.64 m.

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