3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{60b9db45-b48e-40a1-bd22-909e11877bc3-2_442_805_1023_719}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{figure}
Figure 1 shows the forces acting on a particle, \(P\). These consist of a 20 N force to the South, a 6 N force to the East, an 18 N force \(30 ^ { \circ }\) West of North and two unknown forces \(X\) and \(Y\) which act to the North-East and North respectively.
Given that \(P\) is in equilibrium,
- show that \(X\) has magnitude \(3 \sqrt { } 2 \mathrm {~N}\),
- find the exact value of \(Y\).