A man is observing from the top of tower a boat speeding towards the lower from a certain point \( \mathrm{A} \), with uniform speed. At that point, angle of depression of boat with man's eye is \( 30^{\circ} \) (ignore mans height). After Sailing for 20 seconds, towards the base of tower (same level as of water), the boat has reached a point \( B \), where angle of depression is \( 45^{\circ} \). Then time taken by boat (in seconds) from \(B\) to reach base of tower is:

[JEE Main 2021, 25 Feb (Shift 1)]

Question

A man is observing from the top of tower a boat speeding towards the lower from a certain point \( \mathrm{A} \), with uniform speed. At that point, angle of depression of boat with man's eye is \( 30^{\circ} \) (ignore mans height). After Sailing for 20 seconds, towards the base of tower (same level as of water), the boat has reached a point \( B \), where angle of depression is \( 45^{\circ} \). Then time taken by boat (in seconds) from \(B\) to reach base of tower is:

[JEE Main 2021, 25 Feb (Shift 1)]

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