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Problem. A building casts a shadow that is 30 feet long. At the same time a flagpole that is 15 feet tall casts a shadow 10 feet long. How tall is the building?

Respuesta :

EXPLANATION

Let's see the facts:

Shadow = 30 feet long

height of the building = unknown

flagpole height = 15 feet

flagpole shadow = 10 feet

We can set up a proportion comparing the height of each object to the length of the shadow.

[tex]\frac{h}{s}[/tex][tex]\frac{h}{30}=\frac{15}{10}[/tex]

Multiplying both sides by 15:

[tex]h=30\cdot\frac{15}{10}[/tex]

Multiplying numbers:

[tex]h=\frac{450}{10}=45_{\text{ }}\text{feet}[/tex]

The height is 45 feet