A plane flies 600km/h south. The plane encounters a southwestern wind of 100km/h.
What is the velocity (magnitude and direction) of the plane
The Attempt at a Solution
What I did was break the 100km southwestern vector into its components. 100*cos45 = 70.71 (45 because southwestern wind is 45deg?). This will be both north and east component since it is 45 45 90 triangle that is being used.
Then I subtract 70.71 north component from 600 original vector = 529.29
Using the new 529.29 south component, and the remaining east pointing 70.71 component, I use phythagoras to find the resulting velocity vector.
I get 534. Answer is 543.
As for the heading, I get 7.61deg, which is inline with the answer.