Two persons A and B perform same amount of work in moving a body through a certain distance d with application of forces acting at angles 45^° and…

Two persons A and B perform same amount of work in moving a body through a certain distance $\displaystyle d$ with application of forces acting at angles $\displaystyle 45^{\circ}$ and $\displaystyle 60^{\circ}$ with the direction of displacement respectively. The ratio of force applied by person A to the force applied by person B is $\displaystyle \frac{1}{\sqrt{x}}$. The value of $\displaystyle x$ is \_\_\_\_.