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.

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Answer 1 · 2016-04-27T19:23:41

20.45m

A diagram usually helps:
enter image source here
If we use trigonometry we can find distance

#tan25=a/40#
so

#a=40*tan25=18.65m#

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