document.write( "Question 937769: A sailboat is headed east at 18 mph relative to the water. A current is moving the water south at 3 mph.
\n" ); document.write( "What is the angle of the path of the sailboat?
\n" ); document.write( "What is the sailboat’s speed?
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Algebra.Com's Answer #571198 by TimothyLamb(4379)\"\" \"About 
You can put this solution on YOUR website!
set up a right triangle:
\n" ); document.write( "a = 3
\n" ); document.write( "b = 18
\n" ); document.write( "h = sqrt( aa + bb )
\n" ); document.write( "h = sqrt( 3*3 + 18*18 )
\n" ); document.write( "h = 18.248287591
\n" ); document.write( "---
\n" ); document.write( "use law of sines:
\n" ); document.write( "sinA/a = sinH/h
\n" ); document.write( "sinA/3 = sin(90)/18.248287591
\n" ); document.write( "sinA = 3*sin(90)/18.248287591
\n" ); document.write( "A = asin( 3*sin(90)/18.248287591 )
\n" ); document.write( "A = 8.45149853213
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "angle of the path of the sailboat = 8.45 degrees south of east
\n" ); document.write( "the sailboat’s speed = 18.25 mph
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