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A vertical pole 6 feet high casts a shadow of 4 feet long. At the same time a tree casts a shadow of 64 feet long. What is the high of the tree, in feet?

A vertical pole 6 feet high casts a shadow of 4 feet long. At the same time a tree casts a shadow of 64 feet long. What is the high of the tree, in feet? Correct Answer 96

The ratio of the pole's height to its shadow is 6 to 4.   The ratio of the tree's height to its shadow is x to 64.   Equate the ratios,   6/4 = x/64   or,4x = 6*64   or,4x = 384    or,x = 384/4   ∴ x = 96   Answer: 96 feet tall

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