The angle of elevation of the top of a hill from the foot of a tower is 60\(^{\circ}\), and the angle of elevation of the top of the tower from the foot of the hill is 45\(^{\circ}\). If the tower is 99 \(m\), then find the height of the hill. express in metres.
Let \(AB\) denote the height of the tower, and \(CD\) denote the height of the hill.
Let \(h\) denote the height of the hill.
In the right \(\triangle DCA\), \(tan \ \theta =\)
Appl;ying the known values then simplifying we get \(h =\)