SOLUTION: Dear Sir/Madam: A good day to you! Please help me in finding a solution to this word problem involving oblique triangles, here it goes: Two trains start at the same time fr

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Question 826065: Dear Sir/Madam:
A good day to you! Please help me in finding a solution to this word problem involving oblique triangles, here it goes:
Two trains start at the same time from the same station moving along straight tracks with an angle of 42.7°. One train runs at a rate of 40 mph and the second train at 55 mph. What is their distance after 25 minutes, if the second train makes an angle of 50.3° with the first train?
Thank you very much for your help!

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Here is help to start:

Change 25 minutes into hours, hours.

The situation can be described using Law Of Cosines,
;

If one train follows a, then ;
and the other train follows b, .
You would be calculating, then computing c.

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