A man on the top of a vertical tower observes a car moving at a uniform speed coming directly towards it. If it takes 10 minutes for the angle of depression to change from 45° to 60°, in how much total time will the car reach the tower?

1
(15 + 5\(\sqrt{3}\)) minutes
2
(3 + 5\(\sqrt{3}\)) minutes
3
(15 + 8\(\sqrt{3}\)) minutes
4
(15 + 3\(\sqrt{3}\)) minutes

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