There are two forces $F_1=272N$ and $F_2=113N$ acting on points $D$ and $C$ on the frame shown. Given $Mc=486Nm,=35,a=2m,b=4m,c=5m$;

replace the forces and the couple system acting on the structure by an equivalent resultant force where the line of action intersects member $BC,$ measured from $B.$

Determine the following:

a$)$ The magnitude of the resultant force

$F_R$:$,N$

b$)$ The angle of the resultant force with respect to horizontal, assume positive to be counter$-$clockwise.

${}_R$

c$)$ The perpendicular distance of the vertical resultant force to the middle line of the vertical bar

$d$:

$m$