Question No$.11$: A ladder rests against a vertical wall, whose length was found to be $7$ m $,$ with which it makes an angle of $\backslash (45^\{\backslash$circ$\}\backslash )$ and on a floor. If a man whose weight is one half that of the ladder climbs it$,$ at what distance along the ladder will he be$,$ when the ladder is about to slip? Take coefficient of friction between the ladder and the wall is $\backslash (1/3\backslash )$ and that between the ladder and the floor is $\backslash (1/2\backslash ).$