An ant walks inside a 18\:cm by 150\:cm rectangle. The ant’s path follows straight lines which always make angles of 45° to the sides of the rectangle. The ant starts from a point X on one of the shorter sides. The first time the ant reaches the opposite side, it arrives at the midpoint. What is the distance, in centimetres, from X to the nearest corner of the rectangle?
Answer Choices
A. 3
B. 4
C. 6
D. 8
E. 9