document.write( "Question 368359: Mr. Jones flew his plane 300 miles north before turning 15 degrees clockwise. He flew 75 miles in that direction. How far is Mr. Jones from his starting point? \n" ); document.write( "

Algebra.Com's Answer #262561 by Fombitz(32388) $\"\"$ $\"About$

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Let East be positive $\"x\"$ .
\n" ); document.write( "Let North be positive $\"y\"$ .
\n" ); document.write( "Measure angles from the x-axis counterclockwise.
\n" ); document.write( "( $\"x\"$ , $\"y\"$ )=( $\"0\"$ , $\"300\"$ )+ $\"75\"$ ( $\"cos%2890-15%29\"$ , $\"sin%2890-15%29\"$ )
\n" ); document.write( "( $\"x\"$ , $\"y\"$ )=( $\"0\"$ , $\"300\"$ )+( $\"19.4\"$ , $\"72.4\"$ )
\n" ); document.write( "( $\"x\"$ , $\"y\"$ )=( $\"19.4\"$ , $\"372.4\"$ )
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Starting point is ( $\"0\"$ , $\"0\"$ ).
\n" ); document.write( ".
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\n" ); document.write( "Use the distance formula,
\n" ); document.write( " $\"D%5E2=%28x-0%29%5E2%2B%28y-0%29%5E2\"$
\n" ); document.write( " $\"D%5E2=%2819.4%29%5E2%2B%28372.4%29%5E2\"$
\n" ); document.write( " $\"D%5E2=376.36%2B138681.76\"$
\n" ); document.write( " $\"highlight%28D=372.9%29\"$ miles
\n" ); document.write( " \n" ); document.write( "

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