1. The problem statement, all variables and given/known data A jet flies with an airspeed of 310 mph due east (assuming +x is due east). It is climbing vertically with a velocity of 50 mph. A wind blowing toward northeast has a speed of 55 mph. 2. Relevant equations Find the x,y,z components of the plane's velocity relative to the ground. 3. The attempt at a solution Since nothing is affecting the z direction except the plane climbing, the z component would just be 50 mph. Because the wind is blowing toward the northeast, this adds a y component of (55 mph)*sin(45) =38.9 mph Both those answers are correct, but I am stuck on the x component. I tried adding 55mph*cos(45) to the 310 mph airspeed (since the plane is flying due east) to get 350 mph, but that is wrong. I also tried using the airspeed as the final vector's magnitude (i.e. x^2 + y^2 + z^2 = 310) using the correct answers above for y and z, but that is also wrong. Any help would be great.