document.write( "Question 114904: A ship is heading due norhtwest at 15 mph in a river that flows east at 7 mph. What is the magnitude and direction of the ship's velocity relative to the Earth's surface? \n" ); document.write( "
Algebra.Com's Answer #83584 by stanbon(75887)\"\" \"About 
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A ship is heading due northwest at 15 mph in a river that flows east at 7 mph. What is the magnitude and direction of the ship's velocity relative to the Earth's surface?
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\n" ); document.write( "Draw the picture on a coordinate system.
\n" ); document.write( "The ship vector is heading 135 degrees with magnitude 15
\n" ); document.write( "The water vector is heading east with magnitude 7.
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\n" ); document.write( "The resultant vector is:
\n" ); document.write( "x-coordinate: 15cos(135)+7cos(0) = -3.6066...
\n" ); document.write( "y-coordinate: 15sin(135)+7sin(0) = 10.6066
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\n" ); document.write( "magnitude = sqrt(-3.6066^2 + 10.6066^2)= 9.9746 mph
\n" ); document.write( "direction = arctan(10.6066/-3.6066)=108.78 degrees
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \r
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