A $62$kg$62\backslash ,\backslash$text$\{$kg$\}62$kg window cleaner uses an $11$kg$11\backslash ,\backslash$text$\{$kg$\}11$kg ladder that is $5\mathrm{.}6$m$5\mathrm{.}6\backslash ,\backslash$text$\{$m$\}5\mathrm{.}6$m long. He places one end on the ground $3\mathrm{.}6$m$3\mathrm{.}6\backslash ,\backslash$text$\{$m$\}3\mathrm{.}6$m from a wall, rests the upper end against a cracked window, and climbs the ladder. He is $3\mathrm{.}7$m$3\mathrm{.}7\backslash ,\backslash$text$\{$m$\}3\mathrm{.}7$m up along the ladder when the window breaks. Neglect friction between the ladder and window and assume that the base of the ladder does not slip.