Question 345703
Let North be positive {{{y}}}, East be positive {{{x}}}.
The plane is traveling ({{{0}}},{{{-450}}}).
The wind is blowing ({{{-75}}},{{{0}}}).
The actual plane velocity is,
({{{0}}},{{{-450}}})+({{{-75}}},{{{0}}})=({{{-75}}},{{{-450}}})
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{{{abs(V)=sqrt(75^2+450^2)}}}
{{{abs(V)=sqrt(5625+202500)}}}
{{{abs(V)=sqrt(208125)}}}
{{{abs(V)=456}}}mph
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{{{tan(theta)=75/450}}}
{{{theta=9.5}}}degrees West of South.