A heavy box is to be dragged along a rough horizontal floor. To do so, person A pushes it at an angle 30° from the horizontal and requires a minimum…

A heavy box is to be dragged along a rough horizontal floor. To do so, person A pushes it at an angle $\displaystyle 30$° from the horizontal and requires a minimum force $\displaystyle \mathrm{F}_{\mathrm{A}}$, while person B pulls the box at an angle $\displaystyle 60$° from the horizontal and needs minimum force $\displaystyle \mathrm{F}_{\mathrm{B}}$.If the coefficient of friction between the box and the floor is $\displaystyle \frac{\sqrt{3}}{5}$, the ratio $\displaystyle \frac{\mathrm{F}_{\mathrm{A}}}{\mathrm{F}_{\mathrm{B}}}$ is :