A shop sign with a weight of $75\,\text{N}$ is suspended from a frame fixed to a vertical wall. The frame is made up of a horizontal rod $XY$ and a rod $YZ$ which makes an angle of $30^\circ$ with the horizontal. Rod $XY$ is joined to the wall at $X$ by a hinge and has a length of $0.50\,\text{m}$. The weights of the rods may be ignored. What horizontal force does the wall exert on rod $XY$?
- A$0\,\text{N}$
- B$43\,\text{N}$
- C$130\,\text{N}$
- D$150\,\text{N}$