document.write( "Question 993387: a boat is traveling at 30 miles per hour at a bearing of 35 degrees. The river current is flowing 5 miles per hour at a bearing of 115 degrees. What will the overall velocity of the boat be?
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Algebra.Com's Answer #612692 by Alan3354(69443) $\"\"$ $\"About$

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a boat is traveling at 30 miles per hour at a bearing of 35 degrees. The river current is flowing 5 miles per hour at a bearing of 115 degrees. What will the overall velocity of the boat be?
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\n" ); document.write( "Draw a line starting at the Origin length 30 at 35 degs from vertical.
\n" ); document.write( "At the end of this line, draw a line length 5 115 degs CW from vertical.
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\n" ); document.write( "The result is the line from the Origin to the end of the 5 mi/hr line.
\n" ); document.write( "The included angle between the 2 lines is 80 degs.
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\n" ); document.write( "Use the Cosine Law:
\n" ); document.write( "c^2 = 30^2 + 5^2 - 2*30*5*cos(80)
\n" ); document.write( "c^2 = 925 - 300*cos(80) = 872.9055
\n" ); document.write( "c = 29.545 mi/hr
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\n" ); document.write( "Find the interior angle at the Origin using either Sine or Cosine Law.
\n" ); document.write( "Add that to 35 degs for the direction of the boat.
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