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  3. 67 a lake is in the shape of an isosceles triangle

67 A lake is in the shape of an isosceles triangle as shown in the...

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Geometry

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67 A lake is in the shape of an isosceles triangle as shown in the picture You want to go from point A to point E 4 miles away on the opposite side of the lake in the shortest time possible You can walk at a rate of 4 miles per hour and row a boat at 2 miles per hour How should you proceed You may row a boat from A directly to E but that may not be the shortest time possible or is it Instead you may walk along the shore to a point B and then row a boat from B to E Determine the point B that will minimize the time of your travel A 0 0 B r C 4 2 E 4 0 D 1 2

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