JEE Main 2016MathematicsHeights and DistancesEasyMCQ

JEE Main 2016 — Heights and Distances Question with Solution

JEE Main 2016 (03 Apr)

Question

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

Choose an option

Show full solutionCorrect option: B
Correct answer
B5

Step-by-step explanation

ΔQPA :hx+y=tan30°

⇒3h=x+y ......i

ΔQPB :hy=tan60°

⇒h= 3y   ......ii

From equation i & ii, we get

3y=x+y 

⇒y=x2

∵ Speed is uniform

Therefore, distance x walked by him in 10 min.

and distance x2 walked by him in 5 min.

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About this question

This is a previous-year question from JEE Main 2016, covering the Heights and Distances chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.