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A pole of 8m height casts a shadow of 10m long and under similar condition the tree casts a shadow of 40 m long, then the height of the tree is

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80 m

44 m

84 m

32 m

answer is D.

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Detailed Solution

$h α L, h 1 = 8, L 1 = 10, L 2 = 40, h 2 = ?$

$h 1 L 1 = h 2 L 2$

$810 = h 2 40 ⇒ h 2 = 8 × 4 = 32 m$

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