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JEE Main 2016 Paper

Section: Mathematics

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Question : 60 of 90

Marks: +1, -0

A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is:

10
20
5
6

Solution:

\tan 60^{\circ} = \frac{h}{x} \Rightarrow h = \sqrt{3}x

\tan 30^{\circ} = \frac{h}{x} \Rightarrow \sqrt{3}h = x+y

3x = x+y

\Rightarrow 2x+y

Time taken from A to B is 10 min

So time taken from B to pillar is 5 min

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