SOLUTION: An airplane with a speed of 120 knots is headed west while a 30-knot wind is blowing from 120°. Find the ground speed to the nearest knot. 131 knots 141 knots 147 knots 164

Algebra ->  Triangles -> SOLUTION: An airplane with a speed of 120 knots is headed west while a 30-knot wind is blowing from 120°. Find the ground speed to the nearest knot. 131 knots 141 knots 147 knots 164      Log On


   



Question 1054421:
An airplane with a speed of 120 knots is headed west while a 30-knot wind is blowing from 120°. Find the ground speed to the nearest knot.
131 knots
141 knots
147 knots
164 knots

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that west is 180°.
Coming in from 120° means that the wind has an angle of 300°.
V+W=(-120,0)+(30cos(300),30sin(300))
V+W=(-120,0)+(15,-25.98)
V+W=(-105, -25.98)
So then the resultant,
abs%28V%2BW%29=sqrt%28105%5E2%2B25.98%5E2%29=108
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OK, looks like the assumption is not correct.
Please let me know what angle west is in your example.