A building casts a shadow 48 feet long. At the same time, a 40-foot-tall flagpole casts a shadow 9.6

Algebra
Tutor: None Selected Time limit: 1 Day

A building casts a shadow 48 feet long. At the same time, a 40-foot-tall flagpole casts a shadow 9.6 feet long. What is the height of the building?

Aug 26th, 2015

We solve this using proportion, so

shadow : height : : shadow : height

                 48 : x : : 9.6 : 40

                   48/x = 9.6/40

Taking reciprocal, we get

                   x/48 = 40/9.6

 Multiply by 48 on both sides, we get

            48 * x/48 = 48 * 40/9.6

                         x = 1920/9.6

                         x = 200 feet

Hence the height of the building is 200 feet.

Aug 26th, 2015

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Aug 26th, 2015
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Aug 26th, 2015
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