Answer
0.532
Work Step by Step
Please see the attached image first.
$R=kF_{A}-(1)$
Also, we can write,
$R=F_{A}+F_{Bx}+F_{Cx}$
$R=F_{A}+Fcos20^{\circ}+Fcos20^{\circ}$
$R=F_{A}+2Fcos20^{\circ}-(2)$
$(1)=\gt(2)$
$kF_{A}=F_{A}+2Fcos20^{\circ}$
$F=\frac{F_{A}(k-1)}{2cos20^{\circ}}=\gt \frac{F}{F_{A}}=\frac{(k-1)}{2cos20^{\circ}}$ ; Let's plug known values into this equation.
$\frac{F}{F_{A}}=\frac{2-1}{2\times0.94}=0.532$
