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A man whose eye-level is 2 m above the ground wishes to find the height of a tree. He places a mirror horizontally

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A man whose eye-level is 2 m above the ground wishes to find the height of a tree. He places a mirror horizontally on the ground 20 m from the tree and finds that if he stands at a point C which is 4 m from the mirror B, he can see the reflection of the top of the tree. How height is the tree?

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From the figure; ΔDAC, ΔFBC are similar triangles and ΔACE & ΔABF are similar triangles.

∴ height of the tree h = 6x = 10 m.

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