Asked by Fred

A surveyor standing 62 meters from the base of a building measures the angle to the top of the building and finds it to be 38°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 45°. How tall is the tadio tower?
Answered by feranamic
"How tall is the tadio tower?" is not clear. Do you mean its HEIGHT (how far its top is from the ground) or its VERTICAL LENGTH? Introducing the 38° angle to the top of the building implies the latter, but this could be a red herring.
Answered by Steve
clearly he means the height of the tower part of the setup.

The height h of the tower is found by noting that

h = 62tan45° - 62tan38°

Just draw a diagram and recall your basic trig functions.
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