A flagpole casts a shadow 18 ft long. At the same time, Rachael casts a shadow that is 4 ft long. If Rachael is 5 ft tall, what is the height of the flagpole?

Respuesta :

Check the picture below.

Ver imagen jdoe0001

The height of the flagpole is 22.5 ft.

Let the height of the flagpole is = x

We compare the ratios of the height and the shadows and get an equation.

[tex]\frac{x}{18}=\frac{5}{4}\\x=\frac{5}{4}\cdot18=22.5[/tex]

So the height of the flagpole is 22.5 ft.

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