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 with one point $P$ on its base touching a rough horizontal plane, while the vertex $V$ is directly above $P$. A force of magnitude $F\,\text{N}$, acting along the cone’s axis of symmetry and applied at $V$, keeps it balanced (see diagram).