# A person stands 40 m from a flagpole. With a protractor at eye level, he finds the angle at the top of the flag pole with the horizontal is 25.0 degrees. How high is the flag pole? The distance from his feet to his eyes is 1.8 m.

Apr 27, 2016

20.45m

#### Explanation:

A diagram usually helps:

If we use trigonometry we can find distance

$\tan 25 = \frac{a}{40}$
so

$a = 40 \cdot \tan 25 = 18.65 m$

So total height of flagpole is $18.65 + 1.8 m = 20.45 m$