silvayarielis silvayarielis
  • 04-01-2019
  • Mathematics
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A 6-ft-tall person casts a shadow 5 ft long. A nearby tree casts a shadow 40 feet long. What is the height of the tree?

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alleah77
alleah77 alleah77
  • 04-01-2019

Answer:

The tree is 48 feet tall.

Step-by-step explanation:

Cross multiply. ⇒ [tex]\frac{5}{6} x\frac{40}{x}[/tex]

5 times 8 equals 40, so 6 times 8 equals ___?

Solve. ⇒  [tex]\frac{5}{6} x\frac{40}{x} =48[/tex]

The tree is 48 feet tall.

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