Representation of data — practice question

A uniform lamina $ABC$, shaped as an isosceles triangle, has weight $24\,\text{N}$. The perpendicular height from $A$ to $BC$ is $12\,\text{cm}$. The lamina is positioned in a vertical plane in equilibrium, with vertex $A$ touching a horizontal surface. Angle $BAC = 100^\circ$ and $AB$ is inclined at an angle of $10^\circ$ to the horizontal. Equilibrium is upheld by a force of magnitude $F\,\text{N}$ acting along $BC$ (see diagram).