Question

A flagpole is at the top of a building. 300 feet from the base of the building, the angle of elevation of the top of the pole is 32 degrees and the angle of elevation of the bottom of the pole is 30 degrees. Determine the length of the flagpole (to the nearest foot).

Answer 1

Answer: We can use tangent here to find the length of the flagpole

First, find the length of the building + the flag pole

tan 32 = x/300

x=300tan32=187.460805573

(length of building + flagpole)

find length of building

tan 30 = x/300

x=173.205080757

subtract

187.460805573-173.205080757=14.255724816

round, length of flagpole = 14 feet