A \(25-\mathrm{kg}\) ladder of length \(5.0 \mathrm{~m}\) leans against a smooth wall and makes an angle of \(50^{\circ}\) with the ground. A \(75-\mathrm{kg}\) man starts to climb the ladder. If the coefficient of static friction between ground and ladder is 0.50 , what distance along the ladder can the man climb before the ladder starts to slip?