An observer at O notices that the angle of elevation of the top of a tower is 30°. The line joining O to the base of the tower makes an angle of tan-1 (1/√2 ) with the North and is inclined Eastwards. The observer travels a distance of 300 m towards the north to a point A and finds the tower to his East. The angle of elevation of the top of the tower at A is ϕ . Find ϕ and the height of the tower.