A ladder \(\overline{AB}\) is of length 6 metres, its upper edge \( A \) lies on a vertical wall and its other edge \( B \) on a horizontal floor. If \( C \) is the projection of the point \( A \) on the surface of the floor and its angle of slope on the surface of the floor was of measure \( 60^\circ \), then find the length of \(\overline{AC}\).
\( 3\sqrt{3} \)
MR/Nasef.N
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