You are in charge of safety at a local park. A tire swing hangs from a tree branch by a \(5-\mathrm{m}\) rope, and the bottom of the tire is \(1 \mathrm{~m}\) from the ground directly beneath it. The land is sloped at a \(12^{\circ}\) angle toward a pond. From experience, you know that even an energetic user will be unlikely to cause the swing to make a maximum angle exceeding \(30^{\circ}\) with respect to the vertical. You are certain that parents will want reassurance about the safety of the tire swing.