Question

A person stands 1000 feet from the base of a statue. The angle ofelevation to the top of the statue is 23 degrees. How tall is the statue?

Answer 1

b = base

b = 1000f t

angle = 23 degress

Procedure

$\begin{gathered} \tan \theta=\frac{\text{opposite}}{\text{adjacent}} \\ \tan 23=\frac{h}{1000} \\ h=1000\cdot\tan 23 \\ h=424.47\text{ ft} \end{gathered}$

The height of the statue would be h = 424.47 ft