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The distance between cties A and B on a map is 10.25 in. The distance from cty B to cty C ; is 6.5 in, and the distance from C to A is 13.75 in if the bearing from

User SHINIGAMI
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Final answer:

The subject of this question is Mathematics, specifically dealing with distances and bearings. We can use the concept of the Law of Cosines to find the missing side in the triangle formed by cities A, B, and C.

Step-by-step explanation:

The subject of this question is Mathematics, specifically dealing with distances and bearings.

We can use the concept of the Law of Cosines to find the missing side in the triangle formed by cities A, B, and C. Let's call the distance from B to C d. Using the Law of Cosines, we have:

d^2 = 10.25^2 + 6.5^2 - 2(10.25)(6.5)cos(180 - \theta)

Note that \theta is the bearing from B to C. After solving the equation, we can find the value of d. In this case, it will be approximately 20.36 inches.

User Ikrom
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