Question

A radio tower is located 400 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 44 degrees and that the angle of depression to the bottom of the tower is 21 degrees . How tall is the tower?

Answer 1

The height of the tower will be given by:

$\begin{gathered} H=h1+h2 \\ where: \\ h1=400\cdot tan(44)\approx386.2755ft \\ h2=400\cdot tan(21)\approx153.5456ft \\ so: \\ H=h1+h2=386.2755ft+153.5456ft \\ H\approx539.82ft \end{gathered}$

Answer:

539.82 ft