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=(o)/(a) \\ \\ \tan 64=(63)/(a) \\ \\ a\cdot\tan 64=63 \\ \\ a=(63)/(\tan 64) \\ \\ a=30.7 \end{gathered}`

Then, the shadow is 30.7 ft