38. Five mark exercise problem XIV

From the top of a lighthouse, the angle of depression of two ships on the opposite sides of it are observed to be \(30^{\circ}\) and \(60^{\circ}\). If the height of the lighthouse is \(h\) meters and the line joining the ships passes through the foot of the lighthouse, show that the distance between the ships is \(\frac{4h}{\sqrt{3}} \ m\).