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Problem 15 - Entrance Test

On a map, the distance between City A and City B is 5 inches and the distance between City B and City C is 4 inches. If the distance between City A and City C is 7 inches, what is the measure of angle B?

Correct: B

The three cities form a triangle with side lengths 5, 4, and 7 inches. By the law of cosines, c^2 = a^2 + b^2 - 2ab * cos(C), where C is the angle opposite side c. We can use this formula to solve for angle B.