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) About Me  (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: +%28my+height%29%2F%28my+shadow%29=%28tree+height%29%2F%28tree+shadow%29 Plugging in the given information, we have 64%2F72=x%2F144. To solve, we cross multiply: multiply the top left and bottom right together, and multiply the bottom left and top right together: 64%2A144=72%2Ax. Simplify: 9216=72x. To get x by itself, divide by 72 on both sides: 128=x. The tree is 128 inches tall.