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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?

Respuesta :

shreyarakesh

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.

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