Given data:
The given figure is shown.
The expression for tan(57°) is,
[tex]\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}[/tex]
Thus, the length of the shadow is 53.2 ft.
