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16 October, 08:17

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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  1. 16 October, 08:41
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    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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