document.write( "Question 824517: an airplane has a speed of 325 miles per hour in still air. if the plane flies directly south and encounters a 40 mph wind blowing directly east, what is the resultant speed of the airplane. \n" ); document.write( "
Algebra.Com's Answer #496550 by TimothyLamb(4379)\"\" \"About 
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\n" ); document.write( "use a right triangle:
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\n" ); document.write( "a = 325 at 180 degrees (true north)
\n" ); document.write( "b = 40 at 90 degrees (true north)
\n" ); document.write( "h = (hypotenuse) is the airplane's velocity vector
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\n" ); document.write( "h = sqrt( a*a + b*b )
\n" ); document.write( "h = sqrt( 325*325 + 40*40 )
\n" ); document.write( "h = 327.452286600658795
\n" ); document.write( "---
\n" ); document.write( "A = angle of h relative to a
\n" ); document.write( "tanA = opp/adj
\n" ); document.write( "tanA = 40/325
\n" ); document.write( "A = arctan( 40/325 )
\n" ); document.write( "A = 7.016501744722909 degrees (relative to a)
\n" ); document.write( "resultant angle = 180 - 7.016501744722909
\n" ); document.write( "resultant angle = 172.983498255277084
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\n" ); document.write( "answer:
\n" ); document.write( "the resultant velocity of the airplane is:
\n" ); document.write( "327.5 mph at 173 degrees (true north)
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