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A man on the top of a vertical tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to change from `30^0to45^0,` how soon after this will the car reach the tower? Give your answer to the nearest second.

A

`9 (1+ sqrt3)`

B

`9/2 (sqrt3-1)`

C

`18 (1 + sqrt3)`

D

`19 (sqrt3 -1)`

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The correct Answer is:
A
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