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A man on the top of a vertical observation tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to changed from `30^@` to `45^@` , how soon after this will the car reach the observation tower? Give your answer correct to the nearest second.

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A straight highway leads to the foot of tower. Ramaiah standing at the top of the tower observes a car at an angle of depression 30^(@) . The car is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60^(@) . Find the time taken by the car to reach the foot of the tower from this point.

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To a person standing at the middle point of the horizontal straight line joining the feet of two vertical posts of the same height, the angle of elevation of the top of each post appears to be 30^@ . After walking 40metres towards one of them , the person observes that the angle of elevation of the top of the same post has changed to 60^@ . Find the distance between the two posts.

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