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Question
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ryan places a mirror on the ground 42 feet from the base of a tree. he walks backwards until he can see the top of the tree in the middle of the mirror. at that point, jasons eyes are 6 feet above the ground and he is 7 feet from the image in the mirror. what is the height of the tree?
a. 39 feet
b. 56 feet
c. 36 feet
d. 49 feet
Step1: Set up proportion
Let $h$ be tree - height. We have $\frac{h}{42}=\frac{6}{7}$.
Step2: Solve for $h$
$h=\frac{6\times42}{7}=36$.
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C. 36 feet