ShaelanT694482 ShaelanT694482
  • 31-10-2022
  • Mathematics
contestada

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

Respuesta :

KorrynQ620938 KorrynQ620938
  • 31-10-2022

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

[tex]\begin{gathered} \frac{20}{15}=\frac{h}{24} \\ 20\cdot24=15h \\ 480=15h \\ h=\frac{480}{15} \\ h=32 \\ \end{gathered}[/tex]

The tree is 32 feet tall.

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