Question 984313: I need help finding the direction in this vectors problem:
What is the direction angle of vector <4,7>
(Round your answer to the nearest 10 minutes.)
Use "dms" notation (degrees, minutes, seconds.)
Thank you.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! vector <4,7> is in the first quadrant which means angle theta will be between 0 and 90 degrees
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theta = inverse tangent ( y / x) = inverse tangent ( 7 / 4 ) = 60.255118703
take decimal portion 0.255 and multiply by 60 = 15.3 , this gives us 15 minutes
now take decimal 0.3 and multiply by 60 = 18, this gives us 18 seconds
therefore, the answer is 60 degrees 15 minutes 18 seconds
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