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In the Ozarks, a road grader is supplied by the county road supervisor to smooth the crevices and gullies ​created by heavy rains in the road network. The operator is given the following assignment:

From the intersection of Highway 5 and Pleasant Hill Road, head due south and grade four miles of Pleasant Hill Rd.
Turn due west and grade two miles of County Line Road.
Turn due north and grade nine miles of Welcome Hill Road.

At the completion of the work assignment, what is the direct distance between the starting and completion locations?


$2$ miles


$5.4$ miles


$15$ miles


$20.4$ miles

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