JEE Main 2014MathematicsHeights and DistancesEasyMCQ

JEE Main 2014 — Heights and Distances Question with Solution

JEE Main 2014 (06 Apr)

Question

A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45°. It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30°. Then the speed (in m/s) of the bird is 

Choose an option

Show full solutionCorrect option: B
Correct answer
B 2 0 3 - 1

Step-by-step explanation

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   AD=20 m

   AO=20tan45∘=201=20 m

   CB=20 m

∴BO=20tan30∘=2013=203m

∴  AB=BO-AO

= 2 0 3 - 2 0

=203-1m

It took 1 sec to travel distance DC.

∴ Speed =203-1 m/sec.

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About this question

This is a previous-year question from JEE Main 2014, 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.