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## Homework Statement

A plane flies 600km/h south. The plane encounters a southwestern wind of 100km/h.

## Homework Equations

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.