4.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{3eb71ecb-fa88-4cca-a2b6-bcf11f1d689b-10_517_371_260_790}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
The number "4", shown in Figure 2, is a rigid framework made from three uniform rods, \(A B , B C\) and \(C D\), where
$$A B = 6 a , B C = 5 a \text { and } C D = 4 a$$
The point \(E\) is on \(A B\) and \(C D\), where \(B E = 4 a , C E = 3 a\) and angle \(C E B = 90 ^ { \circ }\)
The three rods are all made from the same material and they all lie in the same plane.
The framework is suspended from \(B\) and hangs in equilibrium with \(B A\) at an angle \(\theta\) to the downward vertical.
Find \(\theta\) to the nearest degree.
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