Practice mode Height and Distance

A statue 7.32 m tall stands on a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and that of the top of the pedestal is 45°. Taking √3 = 1.732, what is the height of the pedestal?

Correct answer C. 10.00 m

Explanation

If the pedestal is h, the distance is h. Then h√3 = h + 7.32, so h(√3 - 1) = 7.32 and h = 7.32 / 0.732 = 10 m.

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