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Q.

Qutub Minar, whose height is 72 m, casts a shadow that is 80 m long at a particular time. What height will an electric pole have if its shadow, at the same moment, is 1000 cm long?


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a

6 m

b

7 m

c

8 m

d

9 m 

answer is D.

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Detailed Solution

It is given that the Qutub Minar, whose height is 72 m, casts a shadow that is 80 m long at a particular time.
We know that if two quantities x and y vary in the same way while maintaining a constant ratio between their respective values, then the two quantities are said to be in direct proportion.
i.e. x y =k, where k is a constant positive number.
The length of the object increases together with its shadow.
So, the given problem is of direct proportion.
Let’s assume that the length of an electric pole be p. From the given data, we can draw the following table as,
Question ImageThus,
72 80 = p 10 ⇒p= 72×10 80 ⇒p=9
Therefore, the height of the electric pole will be 9 m.
Hence, option (4) is correct.
 
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