Question

b) On my summer road trip, I drove from Rapid City, SD to Grand Forks, ND....

b) On my summer road trip, I drove from Rapid City, SD to Grand Forks, ND. In looking at my GPS, I saw that there were two suggested routes. I noted with interest that the routes made up the lengths of a right triangle. The hypotenuse ran northeast along a local highway and the legs of the triangle were freeways. My GPS is programmed to calculate time based on my average rate of speed - 5 mph above any posted speed limits - which were 65 mph for local highways and 75 mph for freeways in the Dakotas. I was surprised to see that even though the hypotenuse was 80 miles shorter than the legs, that route took 6 minutes longer. Based on the above information, draw the cities and the two routes, labelling the distances on each side of the triangle.

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