Question

From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60o and the angle of depression of the foot of the tower is 30o. Find the height of the tower

Answer 1

Answer:

The height of the tower is 28 m.

Step-by-step explanation:

Given : From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of the foot of the tower is 30°.

To find : The height of the tower?

Solution :

Apply trigonometric formulas,

In ΔADC,

$\tan 30^\circ=\frac{OC}{AD}$

$\frac{1}{\sqrt{3}}=\frac{7}{AD}$

$AD=7\sqrt{3}$

and

$\tan 60^\circ=\frac{ED}{AD}$

$\frac{1}{\sqrt{3}}=\frac{ED}{7\sqrt{3}}$

$ED=21$

EC=ED+DC

EC=21+7

EC=28

Therefore, The height of the tower is 28 m.

Answer 2

hope it might be helpful