Question

How tall is a building that casts a 76-ft shadow when the angle of elevation of the sun is 36 degrees?

Answer 1

Given

Recall: SOHCAHTOA

We are using TOA which is Tan

$\begin{gathered} Tan\text{ 36=}\frac{x}{76} \\ \\ cross\text{ multiply} \\ x=76tan36 \\ x=55.2172 \end{gathered}$

Thus, the height to the nearest foot is;

$55ft$