Question

if the sun is 57° above the horizon, find the length of the shadow cast by a 82 ft building. Round your answer to the nearest tenth

Answer 1

Given data:

The given figure is shown.

The expression for tan(57°) is,

`\begin{gathered} \tan (57^(\circ))=\frac{82\text{ ft}}{x} \\ x=\frac{82\text{ ft}}{\tan(57^(\circ))} \\ =53.2514\text{ ft} \\ \approx53.2\text{ ft} \end{gathered}`

Thus, the length of the shadow is 53.2 ft.