Two boys who are oneither side of a tower of 100 meters height observe that the angles of elevation of the top of the tower are $$30^\circ$$ and $$45^\circ$$. The distance (in meters) between the boys is

A

$$100(2 + \sqrt{3})$$

B

$$100(1 - \sqrt{3})$$

C

$$100(1 + \sqrt{3})$$

D

$$100(2 - \sqrt{3})$$