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.

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}}=(5)/(3)`

Height of shadow of flag pole = 21 feet.

`\frac{\texttt{Height}}{\texttt{Height of shadow}}=(5)/(3)\\\\\frac{\texttt{Height of flag pole}}{\texttt{Height of shadow of flag pole}}=(5)/(3)\\\\\frac{\texttt{Height of flag pole}}{21}=(5)/(3)\\\\\texttt{Height of flag pole}=(5)/(3)* 21\\\\\texttt{Height of flag pole}=35feet`

The flagpole is 35 feet tall.