A farmer has a rectangular field with dimensions 200m (north) by 150m (east). A sheep is put on a 20 meter leash whose end is tied to a pole. (Hint: Draw the situation!) (a) Assume the south west corner of the field is the origin of a coordinate system. The pole is placed at 40 meters east and 20 meters north from this origin. Will the sheep be able to eat grass from the neighbor's field? If so, where? (b) Same situation as in (a). But the pole is now put 180m north and 160m east. Will the sheep be able to eat grass from the neighbor's field? If so, where?