Charles places a mirror on the ground 63 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, Jason's eyes are 6 feet above the ground and he is 9 feet from the image in the mirror. What is the height of the tree?
A. 54 feet
B. 42 feet
C. 69 feet
D. 94 feet

Answer

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Answer

\(\boxed{54}\)

Steps

Step 1 ：Set up the equation using similar triangles: \(\frac{h - 6}{x + y} = \frac{6}{x}\)

Step 2 ：Plug in the values x = 9 and y = 63: \(\frac{h - 6}{72} = \frac{6}{9}\)

Step 3 ：Solve for h: \(h = 54\)

Step 4 ：\(\boxed{54}\)