CAYLEY 2004 Problem 9

Two vertical towers, AB and CD, are located 16\:m apart on flat ground, as shown. Tower AB is 18\:m tall and tower CD is 30\:m tall. Ropes are tied from A to C and from B to C. Assuming the ropes are taut, the total length of rope, in m, is

Answer Choices
A. 54
B. 64
C. 44
D. 48
E. 59