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CAT 2003 | Question: 2-86

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A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes $10$ minutes for the angle of elevation to change from $45^{\circ}$ to $60^{\circ}$. After how much more time will this car reach the base of the tower?

  1. $5(\sqrt{3} + 1)$
  2. $6(\sqrt{3} + \sqrt{2})$
  3. $7(\sqrt{3} – 1)$
  4. $8(\sqrt{3} – 2)$
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