Let \triangle A_{0} B_{0} C_{0} be a triangle whose angle measures are exactly 59.999^{\circ}, 60^{\circ}, and 60.001^{\circ}. For each positive integer n define A_{n} to be the foot of the altitude from A_{n-1} to line B_{n-1} C_{n-1}. Likewise, define B_{n} to be the foot of the altitude from B_{n-1} to line A_{n-1} C_{n-1}, and C_{n} to be the foot of the altitude from C_{n-1} to line A_{n-1} B_{n-1}. What is the least positive integer n for which \triangle A_{n} B_{n} C_{n} is obtuse?
Answer Choices
A. 10
B. 11
C. 13
D. 14
E. 15