Forces and equilibrium — practice question

A and $B$ are two fixed points on a vertical wall, with $A$ directly above $B$. A particle $P$ of mass $0.7\text{ kg}$ is connected to $A$ by a light inextensible string of length $3\text{ m}$. $P$ is also connected to $B$ by a light inextensible string of length $2.5\text{ m}$. $P$ is kept in equilibrium at a distance $2.4\text{ m}$ from the wall by a horizontal force of magnitude $10\text{ N}$ acting on $P$ (see diagram). The two strings are taut, and the $10\text{ N}$ force acts in the plane $APB$, which is perpendicular to the wall.