In Figure 4, the angle of elevation of the top of a tower from a point $C$ on the ground, which is $30$ m away from the foot of the tower, is $30°$. Find the height of tower.

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Question

In Figure 4, the angle of elevation of the top of a tower from a point $C$ on the ground, which is $30$ m away from the foot of the tower, is $30°$. Find the height of tower.

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Accepted Answer

Step 1: $	an 30° = \frac{AB}{BC} \Rightarrow \frac{1}{\sqrt{3}} = \frac{AB}{30}$
Step 2: $AB = \frac{30}{\sqrt{3}} = 10\sqrt{3}$ m

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