document.write( "Question 1107076: An airplane flies 120 kilometers from an airport in a direction of 210 degrees. How far west of the airport is the airplane then? How far south? In navigation, directions are given in degress measured clockwise from north? \n" ); document.write( "

Algebra.Com's Answer #722082 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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An airplane flies 120 kilometers from an airport in a direction of 210 degrees.
\n" ); document.write( " How far west of the airport is the airplane then? How far south?
\n" ); document.write( " In navigation, directions are given in degrees measured clockwise from north?
\n" ); document.write( ":
\n" ); document.write( "Draw this out as right triangle where the hypotenuse is 120 km
\n" ); document.write( "Draw a line due south (s) of the airport as one leg forming an angle of 30 degrees
\n" ); document.write( "210 - 180 = 30 degrees
\n" ); document.write( "then
\n" ); document.write( "cos(30) = $\"s%2F120%29\"$
\n" ); document.write( "s = cos(30) * 120
\n" ); document.write( "s = 103.9 km south of the
\n" ); document.write( "and
\n" ); document.write( "sin(30) = $\"w%2F120\"$
\n" ); document.write( "w = sin(30) * 120
\n" ); document.write( "w = 60 km west of the airport
\n" ); document.write( " \n" ); document.write( "

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