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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?

User Barguast
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1 Answer

5 votes

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.

User Zshanabek
by
9.3k points
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