Representation of data — practice question

A uniform solid cone of height $0.8\,\text{m}$ and semi-vertical angle $30^\circ$ weighs $20\,\text{N}$. It is in equilibrium, supported by just one point $P$ on its base touching a rough horizontal surface, with the vertex $V$ positioned vertically above $P$. The equilibrium is kept by a force of magnitude $F\,\text{N}$ acting along the cone’s axis of symmetry and applied at $V$ (see diagram).