



 
Hello, The question assumes that the runner heads 'due' South and 'due' East, which means that when he/she turns to run East they make a right angle. Therefore, the runner's path makes a right angle triangle where the lengths of the legs are 6 and 8 miles respectively. The distance that the runner is from the start is the length of the hypotenuse of the triangle, which we can find using the Pythagorean Theorem. Tyler  


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