Answer:
Yes, it will be interruped by the fence.
Step-by-step explanation:
I am assuming you are dealing with a 10-foot long rope. The pony is making a circle with a raidus of 10 around the center, (8,8). If we were to draw a straight line from the center to the left that was 10 feet long, it would be horizontal to the stake, and it would go to (-2,8) (8-10,-8). Since the fence lies on the y axis, which is (0,y), but the coordinate (-2,8) has an x value that is less than 0, then the pony would crash into the fence.
this also works if you go down 10 feet to (8,-2) and the fence on the x axis has the coordinate (x,0)
