document.write( "Question 1099544: A plane flies with a velacity of 120 mph at a bearing of 115 degree through a 30-mph wind from the east. What is the plane's velocity as measured from the ground? Show you work. \n" ); document.write( "

Algebra.Com's Answer #713999 by Fombitz(32388) $\"\"$ $\"About$

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So the plane's velocity broken down into components is,
\n" ); document.write( "( $\"120cos%28115%29\"$ , $\"120sin%28115%29\"$ )=( $\"-50.7\"$ , $\"108.8\"$ )
\n" ); document.write( "So the wind is coming out of the east so it's components are
\n" ); document.write( "( $\"-30\"$ , $\"0\"$ )
\n" ); document.write( "So then adding,
\n" ); document.write( "( $\"V%7Bx%5D\"$ , $\"V%5By%5D\"$ )= ( $\"-50.7-30\"$ , $\"108.8\"$ )=( $\"-80.7\"$ , $\"108.8\"$ )\r
\n" ); document.write( "\n" ); document.write( "The resultant is then,
\n" ); document.write( " $\"V=sqrt%28%28-80.7%29%5E2%2B108.8%5E2%29=135.5\"$ $\"mph\"$ \n" ); document.write( "

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