Question

Charlie is standing 250 feet from the base of a tall building. If he determines that the angle of elevation from the ground to the top of the building is 62o, how tall is the building?

Answer 1

This situation can be visualized in the following diagram:

Where h is the height of the building. Using trigonometric functions, we see that:

`\begin{gathered} \tan (62^(\circ))=(h)/(250ft)^{} \\ h=\tan (62^(\circ))\cdot250ft \\ h=470.18ft \end{gathered}`