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An electric pole casts a shadow of length 20m at a time when a tree 6m casts a shadow of length 8m. What is the height of the pole?

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40m

30m

25m

15m

answer is D.

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Detailed Solution

Given that,
Length of shadow of the electric pole = 20 m.
Height of the tree = 6m.
Length of shadow of the tree = 8m.
Let x be the height of the pole.
Then,
The height of the tree

:

length of the shadow of the tree = the height of the pole

:

length of the shadow of the pole.
Thus,

⇒ x : 20 = 6 : 8 ⇒ x 20 = 68 ⇒ 8 x = 120 ⇒ x = 15

Thus, the height of the pole is 15 m.
Therefore, option 4 is correct.

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