Two ships are on the opposite of a light house such that all three of them are collinear. The angles of depression of the two ships from the top of the light house are $$30^{\circ}$$ and $$60^{\circ}$$. If the ships are $$230\sqrt{3}$$ m apart, then find the height of the light house (in m).

A

175.4

B

165.2

C

172.5

D

180.5