SOLUTION: An airplane travelling at an airspeed of 500km/h and a heading of 225 degrees encounters a wind blowing at 40km/h from 180 degrees. Determine the airplane's velocity with respect t

Question 1168650: An airplane travelling at an airspeed of 500km/h and a heading of 225 degrees encounters a wind blowing at 40km/h from 180 degrees. Determine the airplane's velocity with respect to the ground to the nearest degree and the nearest kilometre per hour.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
An airplane travelling at an airspeed of 500km/h and a heading of 225 degrees encounters a wind blowing at 40km/h from 180 degrees. Determine the airplane's velocity with respect to the ground to the nearest degree and the nearest kilometre per hour.
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It's a triangle.
One side is 500, the other is 40
The included angle is 45 degs.
Use the cosine law to find the 3rd side, then the Law of Sines.
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