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


Given
Recall: SOHCAHTOA
We are using TOA which is Tan
[tex]\begin{gathered} Tan\text{ 36=}\frac{x}{76} \\ \\ cross\text{ multiply} \\ x=76tan36 \\ x=55.2172 \end{gathered}[/tex]Thus, the height to the nearest foot is;
[tex]55ft[/tex]