document.write( "Question 345703: An airplane flying at 450 miles/hr due south experiences a westerly wind of 75 miles/hr. What is the actual velocity? \n" ); document.write( "

Algebra.Com's Answer #247464 by Fombitz(32388) $\"\"$ $\"About$

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Let North be positive $\"y\"$ , East be positive $\"x\"$ .
\n" ); document.write( "The plane is traveling ( $\"0\"$ , $\"-450\"$ ).
\n" ); document.write( "The wind is blowing ( $\"-75\"$ , $\"0\"$ ).
\n" ); document.write( "The actual plane velocity is,
\n" ); document.write( "( $\"0\"$ , $\"-450\"$ )+( $\"-75\"$ , $\"0\"$ )=( $\"-75\"$ , $\"-450\"$ )
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\n" ); document.write( " $\"abs%28V%29=sqrt%2875%5E2%2B450%5E2%29\"$
\n" ); document.write( " $\"abs%28V%29=sqrt%285625%2B202500%29\"$
\n" ); document.write( " $\"abs%28V%29=sqrt%28208125%29\"$
\n" ); document.write( " $\"abs%28V%29=456\"$ mph
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\n" ); document.write( " $\"tan%28theta%29=75%2F450\"$
\n" ); document.write( " $\"theta=9.5\"$ degrees West of South.\r
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