Let A and B be two towers with the same base. From the mid point of the line joining their feet, the angles of elevation of the tops of A and B are $$30^\circ$$ and $$45^\circ$$, respectively. The ratio of the heights of A and B is :

A

1 : 3

B

1: $$\sqrt{3}$$

C

$$\sqrt{3}$$: 1

D

3: 1