An island is at point A, 4km offshore from the nearest point B on a straight beach. A woman on the island wishes to go to a point C, 6km down the beach from B. She can go by rowboat at 5km/hr to a point P Between B and C. And then walk at 8km/hr along a straight path from P to C.

a.) Estimate on your graphics calculator the route from A to C that she can travel in the least time.

b.) Confirm Your estimates in part a analytically.