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The angles of elevation of the tops of two pillars of heights h and 2h from a point P on the line joining the feet of the two pillars are complementary. If the distances of the foot of the pillars from the point P are x and y respectively, then which one of the following is correct?

The angles of elevation of the tops of two pillars of heights h and 2h from a point P on the line joining the feet of the two pillars are complementary. If the distances of the foot of the pillars from the point P are x and y respectively, then which one of the following is correct? Correct Answer 2h<sup>2</sup> = xy 

tanθ = h/x

⇒ tan(90° – θ) = 2h/y

cotθ = 2h/y

tanθ = y/2h

Now,

⇒ h/x = y/2h

⇒ 2h2 = xy

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