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** Q 3010012819. ** A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is `30 ^{ \circ }`. After walking for `10` minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is ` 60 ^{ \circ }`. Then the time taken (in minutes) by him, from B to reach the pillar is: