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By using shadows, Tatiana wants to find the height of a building. At a certain time of day, her shadow is 2.4 feet long and the building’s shadow is 16 feet long. Her height is 5.8 feet. How tall is the building?

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sqdancefan

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Answer:

  38 2/3 feet

Step-by-step explanation:

In shadow problems, the usual assumption is that object height and shadow length are proportional.

  height/length = b/16 = 5.8/2.4 . . . . . for building height b

  b = 16(5.8/2.4) = 38 2/3

The building is 38 2/3 feet tall.

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