The angle of elevation of the top of a pole from a point A on the ground is $$30^\circ$$. The angle of elevation changes to $$45^\circ$$, after moving 20 meters towards the base of the pole. Then the height of the pole, in meters, is

A

$$15(\sqrt{5} + 1)$$

B

$$20(\sqrt{3} + 1)$$

C

30

D

$$10(\sqrt{3} + 1)$$