The angle of elevation on the top of a radio tower is 7.5° from the ground at a distance of 1.5 miles from the base of the tower find the height of the tower.

Question

My answer : 2.71 miles

Answer 1

Didn't a height of 2.71 miles for a tower seem totally illogical to you?

height/1.5 = tan 7.5°
height = 1.5tan7.5
= .1975... miles
= (.1975...)(5280) ft
= 1042.7 ft