Problem $6(\backslash (\backslash$mathbf$\{20\}\backslash )$ points$)$: The $90$ kg painter is climbing a $15$ kg ladder $($assume that the ladder C$.$G$.$ is in its center$).$ If the coefficient of friction between the ladder and the floor is $\backslash (\backslash$mu$\_\{$s$\}=0\mathrm{.}25\backslash )$ and there is no appreciable friction between the ladder and the wall, what distance $\backslash ($ s $\backslash )$ will the painter make it up the ladder before it slides. How close to the wall must the base of ladder be for the painter to be able to climb up all $\backslash (4$ m $\backslash )$ of the ladder?