[tex]\hbox{Solution:}\\\hbox{we have given mass of sister is m, and length of swings chains is L}\\\hbox{Thus the total workdone is equal to the potential energy}\\\rm{so}\\w=\hbox{change in potential energy}=mgh\\\rm{finally}\\mgh=mgL\left ( 1-cos\theta \right )\\\hbox{Thus this is the required right solution.}[/tex]