document.write( "Question 966710: An airplane is headed northeast, bearing 45◦, with an air speed of 500 miles per hour, with a wind blowing with
\n" ); document.write( "bearing 315◦, at a speed of 75 miles per hour. Find the ground speed (to nearest tenth of a mph) and the actual
\n" ); document.write( "course of the plane (to nearest tenth of a degree). \n" ); document.write( "

Algebra.Com's Answer #590848 by Alan3354(69443) $\"\"$ $\"About$

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An airplane is headed northeast, bearing 45◦, with an air speed of 500 miles per hour, with a wind blowing with
\n" ); document.write( "bearing 315◦, at a speed of 75 miles per hour. Find the ground speed (to nearest tenth of a mph) and the actual course of the plane (to nearest tenth of a degree).
\n" ); document.write( "---------------
\n" ); document.write( "It's a direct crosswind --> a right triangle.
\n" ); document.write( "The groundspeed is the hypotenuse.
\n" ); document.write( " $\"GS+=+%28500%5E2+%2B+75%5E2%29+=+sqrt%28255625%29\"$
\n" ); document.write( "GS =~ 505.6 mi/hr
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\n" ); document.write( "The angle between the heading and the ground track's tangent = 75/500
\n" ); document.write( "Angle =~ 8.53 degs
\n" ); document.write( "Add that to 045 --> ground track of 53.5 degs
\n" ); document.write( "===============
\n" ); document.write( "PS Planes don't use fractions of mi/hr (they use knots) or of degrees. \n" ); document.write( "

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