The diagram shows triangle $$\(A B C\)$$ with point $$\(G\)$$ inside. $$\(C B=11 \mathrm{~cm}, C G=5.3 \mathrm{~cm}\)$$ and $$\(B G=6.9 \mathrm{~cm}\)$$. Angle $$\(C A B=42^{\circ}\)$$ and angle $$\(A C G=54^{\circ}\)$$. Calculate $$\(A C\)$$. $$\(A C=\)$$ ....................................... $$\(\mathrm{cm}\)$$

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