The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance 100 m from its base is 45°. If the angle of elevation of the top of the complete pillar at the same point is to be 60°, then the height of the incomplete pillar is increased by
(a) 50√2 m
(b) 100 m
(c) 100 (√3 - 1)m
(d) 100 (√3 + 1) m