41. Exemplar exercise problems XVI

The lower window of a house is at a height of \(2 \ m\) above the ground and its upper window is \(4 \ m\) vertically above the lower window. At certain instant the angles of elevation of a balloon from these windows are observed to be \(60^{\circ}\) and \(30^{\circ}\), respectively. Find the height of the balloon above the ground.

 

 

The height of the balloon \(=\) \(m\)