Answer
$F_A=230N$ and $F_B=110N$
Work Step by Step
$\sum F_y=F_A\cos(22^o)-F_B\cos(53)-mg=0$
$\sum F_x=-F_A\sin(22^o)+F_B\sin(53)=0$
Solving system of equations, $F_A=230N$ and $F_B=110N$
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