Answer
$(a)\space 370\space N$
$(b)\space 230\space N$
Work Step by Step
The x component of the vector $F=F_{x}$
The y component of the vector $F=F_{y}$
(b)$F_{y}=Fsin\theta=\gt F=\frac{F_{y}}{sin\theta}=\frac{290\space N}{sin52^{\circ}}=370\space N$
(c) $F_{x}=Fcos\theta=(370\space N)cos52^{\circ}=230\space N$
