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18) A flag pole is 10 feet tall. The
pole casts a shadow that is 15 feet long. At
the same time, the post office building casts a
shadow that is 48 feet. What is the height of
the post office?

Respuesta :

Answer: The post office is 32 feet tall.

Step-by-step explanation:

We set up a proportion : 10ft/15ft = xft/48ft

In this equation "x" is the height of the post office. After setting up a proportion with the size of the buildings on the top (numerator) and the shadows of each building on the bottom (denominator) we cross multipy to get our equation to find x. We then divide both sides of the equation by 15 to get our answer.

[tex]\frac{10}{15}=\frac{x}{48} \\15x=10*48\\15x=480\\x=32[/tex]

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