Answered

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A building casts a 12 ft shadow. At the same time, a 6 ft statue casts a 3.6 ft shadow. How tall is the building?

Sagot :

sqdancefan

Answer:

  20 ft

Step-by-step explanation:

You want the height of a building that casts a 12 ft shadow when a 6 ft statue casts a 3.6 ft shadow.

Proportion

Shadow length is proportional to building height, so we can write ...

  [tex]\dfrac{\text{height}}{\text{shadow}}=\dfrac{b}{12\text{ ft}}=\dfrac{6\text{ ft}}{3.6\text{ ft}}\\\\\\b=(12\text{ ft})\times\dfrac{6}{3.6}=20\text{ ft}[/tex]

The height of the building is 20 ft.

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