Question

Monica, who is 5 feet tall, is standing next to a pine tree that casts a shadow 34 feet long. If Monica's shadow is 2 feet long, how tall is the pine tree, in feet?

Answer 1

Pine tree is 85 feet tall.

Step-by-step explanation:

Height of Monica = 5 feet

Height of shadow of Monica = 2 feet

$\frac{\texttt{Height of Monica}}{\texttt{Height of shadow of Monica}}=\frac{5}{2}=2.5$

Height of shadow of pine tree = 34 feet

$\frac{\texttt{Height of pine tree}}{\texttt{Height of shadow of pine tree}}=2.5\\\\\frac{\texttt{Height of pine tree}}{34}=2.5$

Height of pine tree = 34 x 2.5 = 85 feet

Pine tree is 85 feet tall.