SOLUTION: You are 64 inches tall and your shadow is 72 inches long. A tree casts a shadow of 144 inches. How tall is the tree?

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Question 465870: You are 64 inches tall and your shadow is 72 inches long. A tree casts a shadow of 144 inches. How tall is the tree?

Answer by kingme18(98)   (Show Source): You can put this solution on YOUR website!
This is a proportion problem, where we'll have a fraction = a fraction. I'm going to put height on top of shadow for both fractions. As long as you're consistent with both fractions, you could do a different setup. Mine will look like: Plugging in the given information, we have . To solve, we cross multiply: multiply the top left and bottom right together, and multiply the bottom left and top right together: . Simplify: . To get x by itself, divide by 72 on both sides: . The tree is 128 inches tall.
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