The diagram shows a river which is \(120\) m wide and is flowing at \(4\text{ m s}^{-1}\). Points \(A\) and \(B\) are on opposite sides of the river such that \(B\) is \(50\) m downstream from \(A\). A man needs to cross the river from \(A\) to \(B\) in a boat which can travel at \(5\text{ m s}^{-1}\) in still water.

(i) Show that the man must point his boat upstream at an angle of approximately \(65^\circ\) to the bank.

(ii) Find the time the man takes to cross the river from \(A\) to \(B\).