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Question: A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow?
We can use the concept of similar triangles to find the length of Brad's shadow. The ratio of the tree's height to its shadow length is the same as the ratio of Brad's height to his shadow length. Tree height : Tree shadow length = Brad's height : Brad's shadow length 24 feet : 12 feet = 6 feet : Brad's shadow length To find Brad's shadow length, we set up a proportion: (24/12) = (6/x) Simplify: 2 = (6/x) Now, solve for x (Brad's shadow length): x = 6/2 x = 3 feet So, Brad's shadow is 3 feet long.
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