DierksE371386 DierksE371386
  • 30-10-2022
  • Mathematics
contestada

Evaluate A flagpole casts a shadow 24 feet long while a six-foot fence pole casts a shadow 8 feet long. Find the height of the flagpole.

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EmberliN413084 EmberliN413084
  • 30-10-2022

To answer this question we will use the following diagram as reference:

Notice that both triangles are similar, then:

[tex]\frac{\text{xft}}{6ft}=\frac{24ft}{8ft}\text{.}[/tex]

Simplifying the above result we get:

[tex]\frac{x}{6}=3.[/tex]

Multiplying the above result by 6 we get:

[tex]\begin{gathered} \frac{x}{6}\times6=3\times6, \\ x=18. \end{gathered}[/tex]

Answer: 18 feet.

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