Suppose a hiker finds himself in a forest 4 miles directly

Last updated: 7/15/2022

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