A train leaves train station A and heads due west for 105 miles to reach train station B. Another train leaves train station A a
t 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
2 answers:
Answer:
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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