A $\sqrt{34} \mathrm{~m}$ long ladder weighing 10 kg leans on a frictionless wall. Its feet rest on the floor 3 m away from the wall as shown in the figure. If $F_f$ and $F_{x y}$ are the reaction forces of the floor and the wall, then ratio of $F_{x y} / F_f$ will be: (Use $\left.\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\right)$