Suppose a hiker finds himself in a forest 4 miles directly east of thenearest point...

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Suppose a hiker finds himself in a forest 4 miles directly east of thenearest point along a road that runs north to south. He wants to walkto his car which is parked on the road 10 miles south of the point onthe road that is nearest to the hiker. He can walk 2 miles per hourthrough the forest and 4 miles per hour along the road.Toward what point, in miles north of the car, should the hiker walk inorder to minimize the time it takes to reach his car?Note: Round to the nearest thousandth.

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