Question

If the sun is 64° above the horizon, find the length of the shadow cast by a building 63 ft tall. Round your answer to the nearest tenth.

Answer 1

Ina right triangle as given:

o is the opposite side to the angle 64º

a is the adjacent sdie to the angle 64º

$\begin{gathered} \tan 64=\frac{o}{a} \\ \\ \tan 64=\frac{63}{a} \\ \\ a\cdot\tan 64=63 \\ \\ a=\frac{63}{\tan 64} \\ \\ a=30.7 \end{gathered}$

Then, the shadow is 30.7 ft