When a pole 20 feet tall casts a shadow15 feet long, how tall is a nearby tree thatcasts a shadow 24 feet long?

Jwinn asked Jul 25, 2023

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21 votes

Jwinn asked Jul 25, 2023

by Jwinn

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14 votes

We can set a proportional relation ship comparing the height of the pole to the height of the tree, then:

$\begin{gathered} (20)/(15)=(h)/(24) \\ 20\cdot24=15h \\ 480=15h \\ h=(480)/(15) \\ h=32 \\ \end{gathered}$

The tree is 32 feet tall.

Joshka answered Jul 30, 2023

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