Question

Two observers are 400 feet apart on opposite sides of a flagpole. The angles of elevation from the observers to the top of the pole are 24 degrees and 14 degrees. How do you find the height of the flag pole?

Answer 1

63.93 metres

Explanation:

If h is the height of the pole the distances of the observers on either side would be h cot24 and h cot 14, Then it is hct24+hcot14=400. On solving this equation, h= `400/(cot 24+cot 14)`

h= `400/(2.24603+4.01078)`=`400/6.25681`=63.93 rounded to the nearest hundredth