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Q.

A man observes that the tops of three poles standing in front of him are in a line. If the heights of the poles are in A.P. then the horizontal distances of the poles from the man are in

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a

A.P.

b

G.P.

c

H.P.

d

A.G.P.

answer is A.

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Detailed Solution

We have tanα=h1a=h2b=h3c⇒a=h1cotα,b=h2cota, c=h3cotαSince h1,h2,h3 are in A.P. ⇒h1cotα,h2cotα,h3cotα are in A.P. ⇒a,b,c, are in A.P.

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