Question

4. Two cars are starting from positions that are 20 miles apart. They are both headed for the same intersection, as depicted in the diagram below. Car A is traveling

at 30 mph, and Car Bis traveling at 45 mph. Which car will reach the intersection first? Part I: Use the law of cosines to determine how far Car B has to travel to reach the intersection. (2 points) Part II: Use distance = rate · time to determine the time necessary for Car A to reach the intersection. Round your answer to the nearest hundredth of an hour. (1 point) Part Ill: Use distance = rate time to determine the time necessary for Car B to reach the intersection. (1 point) Part IV: Which car reaches the intersection first, and by how many hours? (2 points)

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