Q59 / 90 · JEE Main 2014 (06 Apr) · Mathematics

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 

  • A
    2 0 2
  • Correct answer
    B
    2 0 3 - 1
  • C
    4 0 2 - 1
  • D
    4 0 3 - 2

Solution

Figure​

   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.

Hence, the correct answer is option: 'B'.

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