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Hoover Dam on the Colorado River casts a shadow that is 2,904 feet long. At the same time, an 18-foot-tall flagpole next to the dam casts a shadow that is 72 feet long. How tall is the Hoover Dam?

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sqdancefan

Answer:

  726 feet

Step-by-step explanation:

Object height and shadow length are proportional, so you have ...

  (object height)/(shadow length) = (18 ft)/(72 ft) = (dam height)/(2904 ft)

Then the dam height is ...

  dam height = (2904 ft)(18/72) = 726 ft

Hoover Dam is 726 feet high.

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