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Question

# An electric pole, 14 metres high, casts a shadow of 10 metres. The height of a tower that casts a shadow of 300 metres under similar conditions is: (in metres)

A

140

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B

480

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C

420

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D

280

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Solution

## The correct option is C 420 Let h denote the height of an object and s the length of the shadow. Let the height of the tower be x metres. Note that more the height of an object, the more would be the length of its shadow. Hence, this is a case of direct proportion. That is, h1s1 = h2s2 1410 = x300 x = 420 metres Hence the height of the tower = 420 metres

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