A man on the top of a vertical tower observes a car moving at a uniform speed coming directly to...

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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 \( 30^{\circ} \) to \( 45^{\circ} \), then the car will reach the tower in
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