A ramp is needed for a cat to help her walk up to the bed. The inclination of the ramp should be $35^o$ angle with the bedroom floor. How long must the ramp be to reach the top of the bed that is exactly three feet off the ground?

The angle elevation of the top $Q$ of a vertical tower $PQ$ from a point $X$ on the ground is $60$ degree.From a point $Y$,$40$m vertically above $X$,the angles of elevation of the top $Q$ of the tower is ${45}^{\circ }$.Find the height of the tower $PQ$ and the distance $PX.$(Use $\sqrt{3}=1.732$)