SOLUTION: 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.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 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.       Log On


   



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.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So the plane's velocity broken down into components is,
(120cos%28115%29,120sin%28115%29)=(-50.7,108.8)
So the wind is coming out of the east so it's components are
(-30,0)
So then adding,
(V%7Bx%5D,V%5By%5D)= (-50.7-30,108.8)=(-80.7,108.8)
The resultant is then,
V=sqrt%28%28-80.7%29%5E2%2B108.8%5E2%29=135.5mph