The triangular plate ABC is supported by ball$-$and$-$socket joints at $B$ and $D$ and is held in the position shown by cables $AE$ and $CF.$ Points A and $C$ lie in the $y-$z plane. If the force exerted by cable $CF$ at $C$ is $36$ N $,$ determine the perpendicular distance between cable $CF$ and the line joining points $D$ and $B.($Round the final answer to three decimal places.$)$

The perpendicular distance is

m$.$