Forces and equilibrium — practice question

A particle $P$ of mass $m\,\text{kg}$ is connected to one end of a light inextensible string of length $2.6\,\text{m}$. The opposite end of the string is fixed to a point on a horizontal ceiling, and the string is taut. The particle is maintained in equilibrium by a force of magnitude $35\,\text{N}$, acting in a vertical plane which is perpendicular to the ceiling and includes the string. This force acts perpendicular to the string (see diagram). The tension in the string is $T\,\text{N}$ and the vertical distance of $P$ below the ceiling is $2.4\,\text{m}$.