Question

Robert sees a bird sitting on top of a telephone pole. He estimates the angle of elevation to the top of the pole to be 51°. If he is standing 10 feet from the base of the pole, about how tall is the telephone pole? (Assume the pole meets the ground at a right angle.)

Answer 1

Answer:

Step-by-step explanation:

Tan51= h/10

h is the height of the pole

h=10 tan51 ft

h=12.35ft

Answer 2

Given:

The bird is on the telephone  pole.

Robert is 10 feet away from the telephone pole.

He estimate the angle of elevation to the top of the pole is 51°.

To FInd:

How tall is the pole?

Solution

*Assuming zero height for Robert.

Find the height of the telephone pole:

Let the height of the pole be H

$\tan \theta = \dfrac{\text{Opposite}}{\text{Adjacent}}$

$\tan (51)= \dfrac{\text{H}}{\text{10}}$

$\text{H} = 10 \tan(51)$

$\text{H} = 12.35 \text{ feet}$

Answer: The telephone pole is 12.35 feet tall.