Given two tangents to a circle, can we find these lengths?

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In the diagram, \(OA\) and \(OB\) are tangents to the circle, centre \(C\) and radius \(\quantity{4.5}{in.}\) . The lines \(OA\), \(OB\) are inclined at \(55^\circ\) and \(25^\circ\) respectively to the straight line \(XOY\).

Calculate

1. the angle \(COY\);
2. the length \(OC\);
3. the distance of \(C\) from the line \(XOY\).