Notice that the ray of sun the skyscraper and the shadow makes a right triangle thus the angle that we are looking for can be defined by the trigonometric function:
[tex]\tan \theta=\frac{\text{opposite side}}{\text{adjacent side}}[/tex]referring to the angle that is marked in blue, the opposite side is 396m and the adjacent side is 332 m. Thus,
[tex]\tan \theta=\frac{\text{opposite side}}{\text{adjacent side}}=\frac{396}{332}[/tex]In order to get the value of the angle, we need to get the inverse tangent .
[tex]\begin{gathered} \tan \theta=\frac{396}{332} \\ \theta=\tan ^{-1}(\frac{396}{332}) \\ \theta=50.02^{\circ} \end{gathered}[/tex]Answer:
[tex]B)\theta=50.02^{\circ}[/tex]
