Solution: Cont.

We need to analyze all forces to its $x$ and $Y$ components.

To do so we need to find the second angle $)$ angle.

$=ta{n}^{-1}(\frac{y}{x})=ta{n}^{-1}(\frac{3}{4})$

$=37$

$T_{cx}=T_{c}cos45,T_{Ax}=T_{A}cos37$

$T_{cy}=T_{c}sin45,T_{Ay}=T_{A}sin37$

$Fx=0$

$T_{cx}-T_{Ax}=0$

$T_{C}cos45=T_{A}cos37$

$$quation $1$

$Fy=0$

$T_{cy}+T_{Ay}-(609\mathrm{.}81)=0$

$T_{c}sin45+T_{A}sin37-588\mathrm{.}6=0$