A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from $$45^\circ$$ to $$60^\circ$$. After this the time required by the vehicle to reach the bottom of the hill is

A

12 min 20 sec

B

13 min

C

13 min 40 sec

D

14 min 24 sec