SOLUTION: An airplane flying at 450 miles/hr due south experiences a westerly wind of 75 miles/hr. What is the actual velocity?

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Question 345703: An airplane flying at 450 miles/hr due south experiences a westerly wind of 75 miles/hr. What is the actual velocity?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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%28V%29=sqrt%2875%5E2%2B450%5E2%29
abs%28V%29=sqrt%285625%2B202500%29
abs%28V%29=sqrt%28208125%29
abs%28V%29=456mph
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tan%28theta%29=75%2F450
theta=9.5degrees West of South.