A, B, and C are three points on a horizontal plane. The point C is due South of the point B, and the point A is due West of the point B. A vertical pole, BD, at B is supported by two cables, AD and CD. BD = 30 m, BC = 45 m, and angle DAB = 40°. Find, giving your answers to 3 significant figures: the length, in m, of the cable AD.