This is geometry. When you tilt the cabinet, the height of the room is the hypotenuse. The opposite side is 2' depth of the cabinet. The new height of the cabinet will the the adjacent side. Sine = 0/H = 2/8 = .25 arcsin(0.25) = 14.48° Cos(14.48) = 0.97 Multiply 8 by 0.97 7.75 ...