In convex quadrilateral K L M N side \overline{M N} is perpendicular to diagonal \overline{K M}, side \overline{K L} is perpendicular to diagonal \overline{L N}, M N=65, and K L=28. The line through L perpendicular to side \overline{K N} intersects diagonal \overline{K M} at O with K O=8. Find M O.