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=}(x)/(76) \\ \\ cross\text{ multiply} \\ x=76tan36 \\ x=55.2172 \end{gathered}`

Thus, the height to the nearest foot is;

`55ft`