4. A particle of mass \(m \mathrm {~kg}\) is attached to two light inextensible strings \(A C\) and \(B C\). The other ends of the strings are attached to two fixed points \(A\) and \(B\), which are 100 cm apart on a horizontal ceiling. The particle hangs in equilibrium as shown in the diagram, which is not drawn to scale.
\includegraphics[max width=\textwidth, alt={}, center]{6c69f370-0d2d-41ec-8761-0707a6ada43d-08_328_904_301_648} The string \(A C\) has length 80 cm and the string \(B C\) has length 60 cm .
Given that the tension in \(A C\) is 29.4 N , find:
i. the tension in \(B C\)
ii. the value of \(m\).
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