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## Homework Statement

I have an example problem I would like to solve and unsure how to graphically set up the problem. I would like to derive the answer by the component method of deriving vectors instead of law of sines/cosines.

**An airplane is trying to keep on a due west course towards an airport. The airspeed of the plane is 600 km/hr. If the wind has a speed of 40 km/hr and is blowing at a direction of 30 degrees S of W, what direction should the aircraft be pointed and what will be its speed relative to the ground.**

## Homework Equations

R=√(R[itex]^{2}[/itex][itex]_{x}[/itex]+R[itex]^{2}[/itex][itex]_{y}[/itex])

tanθ=|[itex]\frac{R_{y}}{R_{x}}[/itex]|

## The Attempt at a Solution

Unsuccessful in setting up problem