Question

A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole
of the pole.





What is the height of the pole?

Answer 1

Answer:

20.8 feet

Explanation:

The given information is provided in an image below.

The side AB represents the pole and the man is standing at point C, which is 36 feet away from the telephone pole.

The angle of elevation is given as 30°.

So, in order to determine the height of the pole (AB), the steps that are needed to follow are given below-

$\tan (30^{\circ})=\frac{AB}{36}$

$\frac{1}{\sqrt{3}}=\frac{AB}{36}$

$\frac{1}{\sqrt{3}}\times 36=AB$

AB= 20.78

Therefore, the height of the pole is 20.78 feet (approximately).