A boat on the ocean is 2 mi. from the nearest point on a straight shoreline; that point is 13 miles from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then wal along the shore to the restaurant.
a. If she walks 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to minimize the total travel time?
Let x be the distance between the nearest point on the shore and the point she lands on shore. If T is time it takes her to get to the restaurant, what is the objective function?
The interval of interest is (use interval notation)
To monimize the total travel time, the boat should land miles from the restaurant. (using radicals as needed)
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