SOLUTION: A house stands next to a shed. The shed is 12 feet high and casts a shadow of 9 feet. At the same time, the house casts a shadow of 18 feet. How high is the top of the house?

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Question 606682: A house stands next to a shed. The shed is 12 feet high and casts a shadow of 9 feet. At the same time, the house casts a shadow of 18 feet. How high is the top of the house?
Answer by mathie123(224)   (Show Source): You can put this solution on YOUR website!
These triangles are similar. Since the bases of the two triangles are doubled from the smaller to the larger, similarily, the heights will be doubled (giving us 2*12=24).

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