A man standing on the deck of a ship, \(11\ m\) above the water level observes the angle of elevation of the top of a hill as \(60^\circ\) and angle of depression of the bottom of the hill as \(30^\circ\). Estimate the distance of the hill from the ship and height of the hill.
Distance of the hill from the ship is \(m\)
Height of the hill is \(m\)