Two persons A and B perform same amount of work in moving a body...

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 $60 °$ with the direction of displacement respectively. The ratio of force applied by person $A$ to the force applied by person $B$ is $\dfrac{1}{\sqrt{x}} .$ The value of $x$ is _________.