From the top of a cliff 100 metre high, the angles of depression of the top and bottom of a tower are $$45^\circ$$ and $$60^\circ$$ respectively. The height of the tower is

A

$$\frac{100}{3}(3 - \sqrt3)$$ metre

B

$$\frac{100}{3}(\sqrt3 - 1)$$ metre

C

$$\frac{100}{3}(2\sqrt3 - 1)$$ metre

D

$$\frac{100}{3}(\sqrt3 - \sqrt2)$$ metre