A $5\mathrm{.}0-$m long, $12-$kg uniform ladder rests against a smooth vertical wall with the bottom of the ladder $3\mathrm{.}0$ m from the wall. The coefficient of static friction between the floor and the ladder is $0\mathrm{.}28.$ What distance, measured along the ladder from the bottom, can a $60-$kg person climb before the ladder starts to slip?

B$)4\mathrm{.}0$ m

C$)3\mathrm{.}3$ m

D$)1\mathrm{.}7$ m

E$)3\mathrm{.}7$ m