1. The problem statement, all variables and given/known data 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? 2. Relevant equations Basic kinematic and relative motion equations. eg. v=dt 3. 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.