A student is standing with a banner at the top of a 100 m high college building. From a point on the ground, the angle of elevation of the top of the student is 60$$^{\circ}$$ and from the same point, the angle of elevation of the top of the tower is 45$$^{\circ}$$. Find the height of the student?

A

35.7 m

B

75.2 m

C

50 m

D

73.2 m

E

75 m