An ugly light fixture is hanging from point O on the ceiling. Wires OXM,OYN and OZP pass through the vertices of a very thin wooden equilateral triangle XYZ of side 60\:cm. (A small bulb is attached to the end of each wire.) The plane of the wooden triangle is parallel to the ceiling. If each wire is 100\:cm long and the lower end of each wire is 90\:cm from the ceiling, what is the vertical distance between the wooden triangle and the ceiling?
Answer Choices
A. 40\:cm
B. 45\:cm
C. 50\:cm
D. 55\:cm
E. 60\:cm