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A man is walking towards a vertical pill...

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 elevationof the top of the pillar is `30^(@)`. After walking for `5(sqrt3+1)` 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 `45^(@)`. Then the time taken (in minutes) by him, to reach from B to the pillar, is (take `sqrt3=1.73`)

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