Question

The angle of elevation of the top of a vertical tower on a level ground from point, at a distance of 9 root 3 m from its foot on the same ground is 60 degree . Find the height of the tower.

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Length of the tower is 27 meters.

Step-by-step explanation:

Let the height of the tower AB = x m

It's distance from a point C is $9\sqrt{3}$ m.

Angle of elevation of the top of the tower from point C is 60°.

Therefore, tan60 = $\frac{AB}{BC}$

$\sqrt{3}=\frac{x}{9\sqrt{3}}$

x = $9\sqrt{3}\times \sqrt{3}$

x = 27 meters

Therefore, length of the tower is 27 meters.

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