How Do You Calculate a Boat's Relative Velocity with a Current Using Cosine Law?

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a.a
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Homework Statement



2. A boat heads 15° west of north witha water speed of 3m/s. Determine its velocity relative to the ground when there is a 2m/s current from 40° east of north.



Homework Equations



cosine law

The Attempt at a Solution




I found the angle between the two vectors to be 125 and then used cosine law and gor the resultant velicity as 4.459 km/ h but the ans. is 2.5 m/h
 
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a.a said:
I found the angle between the two vectors to be 125 and then used cosine law and gor the resultant velicity as 4.459 km/ h but the ans. is 2.5 m/h

Hi a.a! :smile:

2.5 is the right answer if the current is the other way round. :confused: