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The angle of elevation of the top of a tower from a point on the ground which is...


Question

The angle of elevation of the top of a tower from a point on the ground which is 36m away from the foot of the tower is 30o. Calculate the height of the tower.

Options

A) 62.35m

B) 20.78m

C) 18.00m

D) 10.39m

The correct answer is B.

Explanation:

Where H is the height of the tower H = ?
\(Tan 30^{\circ} = \frac{H}{36} \Rightarrow H = 36 \times tan30^{\circ}\\H = 36 \times 0.5774 = 20.79\)

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