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Question

The height of a man and his shadow form a triangle similar to that formed by a nearby tree and its shadow. What is the height of the tree?

A
35 feet
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B
20 feet
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C
40 feet
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D
30 feet
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Solution

The correct option is C 40 feet
Here, ΔABCΔADE (given)
Let the height of the tree is h feet,

∴ Their corresponding sides are proportional (by RHS similarity).
ACAE=BCDE
​​​​​​​1296=5h
h=96×512=40

∴ The height of the tree is 40 feet.

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