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The rectangular box $ABCDEFGH$ has sides of lengths $|AB|=6\mathrm{cm}$, $|BC|=4\mathrm{cm}$, $|AE|=8\mathrm{cm}$. Find the angle between the lines $AC$ and $SC$, where $S$ is the midpoint of the diagonal $EG$ (see the picture). Round the result to two decimal places.