Atrain leaves train station a and heads due west for 105 miles to reach train station b. another train leaves train station a at the same time and travels 85 miles to train station c in a direction 45 north of west from station a. to the nearest mile, how far is train station c from train station b? 75 miles 109 miles 135 miles 176 miles

At the nearest mile, stations B and C are 75 miles apart.

Step-by-step explanation:

In the attached image we can see all the three stations. The closest distance between stations B and C would be a straight line that can be calculate using the Cosine Rule:

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Where:

AB is the distance between stations A and B

AC is the distance between stations A and C

α is the angle formed between the AC and AB railway lines

So, at the nearest mile, stations B and C are 75 miles apart.

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step-by-step explanation: