Question

The angle of the sun above the horizon is $27.5$ degrees. Find the approximate length of the shadow of a person who is $4.75$ feet tall.

• A. $4.75$
• B. $2.47$
• C. $4.65$
• D. $9.12$
• E. $4.86$

Answer 1

The correct option is D $9.12$

Let the length of shadow be $x$

$\tan {27.5}^{\circ }=\frac{4.75}{x}x=\frac{4.75}{\tan {27.5}^{\circ }}x=\frac{4.75}{.52}x=9.12$

So option $D$ is correct.