The tops of two poles of height 24 m and 36 m are connected by wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is. 

The compound interest on a certain sum of money for 3 years, compounded annually, at a rate of interest of 10% per annum is Rs. 1,324. The sum is:

From the top and bottom of a straight hill, the angle of depression and elevation of the top of a pillar of 10 m height are observed to be 60° and 30° respectively. The height (in metres) of the hill is

If a pole of 12 m height caste a shadow of 4√3 m long on the ground then the sun's angle of el­evation at that instant is