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A man is observing, from the top of a to...

A man is observing, from the top of a tower, a boat speeding towards the tower from a certain point A, with uniform speed. At that point, angle of depression of the boat with the man's eye is `30^(@)` (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^(@)`. Then the time taken (in seconds) by the boat from B to reach the base of the tower is:

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