An observer standing at the top of a tower finds that the angle of elevation of a red bulb on the top of a light house of height $$H$$ is $$\alpha$$. Further, he finds that the angle of depression of the reflection of the bulb in the ocean is $$\beta$$. Therefore, the height of the tower is

A

$$\frac{H(\tan\beta-\tan\alpha)}{\tan\beta+\tan\alpha}$$

B

$$\frac{H\sin(\beta-\alpha)}{\cos(\alpha+\beta)}$$

C

$$\frac{H(\cos\alpha-\cos\beta)}{\cot\alpha+\cot\beta}$$

D

$$H$$