The angle of elevation of a stationary cloud from a point 2500 m above a lake is $15^{\circ}$ and from the same point the angle of depressed its reflection in the lake is $45^{\circ}$. The height (in meters) of the cloud above the lake , given that $\cot 15^{\circ}=2+\sqrt {3}$, is - Clay6.com, a Free resource for your JEE, AIPMT and Board Exam preparation

The angle of elevation of a stationary cloud from a point 2500 m above a lake is $15^{\circ}$ and from the same point the angle of depressed its reflection in the lake is $45^{\circ}$. The height (in meters) of the cloud above the lake , given that $\cot 15^{\circ}=2+\sqrt {3}$, is