JEE Math Practice Question
A man is observing, from the top of a tower, a boat speeding towards the lower from a certain point A, with uniform speed. At that point, angle of depression of the boat with the man's eye is 30$$^\circ$$ (Ignore man's height). After sailing for 20 seconds, towards the base of the tower (which is at the level of water), the boat has reached a point B, where the angle of depression is 45$$^\circ$$. Then the time taken (in seconds) by the boat from B to reach the base of the tower is :
- A.$$10(\sqrt 3 + 1)$$
- B.$$10(\sqrt 3 - 1)$$
- C.10
- D.$$10\sqrt 3$$
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