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retracell
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Homework Statement
The navigator of an airplane plans a flight from one airport to another 1200km away, in a direction 30 degrees east of north. The weather office informs him of a prevailing wind from the west, of 80km/h. The pilot wants to maintain an air speed of 300km/h.
What heading should the navigator give the pilot?
Homework Equations
Basic kinematic and relative motion equations. eg. v=dt
The Attempt at a Solution
I tried drawing many different triangles regarding the heading of the plane and the direction of travel. I got to two equations, something like:
tan30 = (Vx+80)/Vy
Vx^2 + Vy^2 = 300^2
If this is right, I was wondering if there was a simpler way.