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JEE Math Practice Question

A man on the top of a vertical tower observes a car moving at a uniform speed towards the tower on a horizontal road. If it takes 18 min. for the angle of depression of the car to change from 30o to 45o ; then after this, the time taken (in min.) by the car to reach the foot of the tower, is :

  1. A.$$9\left( {1 + \sqrt 3 } \right)$$
  2. B.$$18\left( {1 + \sqrt 3 } \right)$$
  3. C.$$18\left( {\sqrt 3 - 1} \right)$$
  4. D.$${9 \over 2}\left( {\sqrt 3 - 1} \right)$$

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