Question

A 5-foot tall women is standing near a flag pole which casts a shadow of 21 feet on level ground. If the women’s shadow is 3 feet long, how tall is the flag pole?

Answer 1

The flagpole is 35 feet tall.

Step-by-step explanation:

Height of women = 5 foot

Height of shadow of women = 3 foot.

$\frac{\texttt{Height}}{\texttt{Height of shadow}}=\frac{\texttt{Height of women}}{\texttt{Height of shadow of women}}\\\\\frac{\texttt{Height}}{\texttt{Height of shadow}}=\frac{5}{3}$

Height of shadow of flag pole = 21 feet.

$\frac{\texttt{Height}}{\texttt{Height of shadow}}=\frac{5}{3}\\\\\frac{\texttt{Height of flag pole}}{\texttt{Height of shadow of flag pole}}=\frac{5}{3}\\\\\frac{\texttt{Height of flag pole}}{21}=\frac{5}{3}\\\\\texttt{Height of flag pole}=\frac{5}{3}\times 21\\\\\texttt{Height of flag pole}=35feet$

The flagpole is 35 feet tall.