A √ 34 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…

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