The diagram shows a cuboid $$\(A B C D E F G H\)$$. Diagram NOT accurately drawn $$\(E H=9 \mathrm{~cm}, H G=5 \mathrm{~cm}\)$$ and $$\(G B=6 \mathrm{~cm}\)$$. Work out the size of the angle between $$\(A H\)$$ and the plane $$\(E F G H\)$$. Give your answer correct to 3 significant figures. $$\(\circ\)$$

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