While driving in his car $($m $=1250$ kg$),$ Mr$.$ Gaglardi runs out of gas at the bottom of an ice

covered hill that slopes upward at an angle of $35\backslash$deg to the horizontal. Moments later, Ms$.$

Jang$-$Ing collides with the stationary Mr$.$ Gaglardi, after which they subsequently stick together and slide up the hill. If Ms$.$ Jang$-$Ing's car was initially travelling at $23\mathrm{.}5$m$/$s and has a mass of $1550$ kg$,$ how far up the slope will the pair travel before coming to rest if the coefficient of friction between the tires and the road is $0\mathrm{.}100?$