1. The problem statement, all variables and given/known data A plane is steering N45°E with an airspeed of 525 km/h. The wind is from N60°W at 98 km/h. Find the ground speed and the direction of the plane. 2. Relevant equations Cosine law, sine law, vector addition/subtraction. 3. The attempt at a solution I have attached an image of my diagram (sorry for the messiness!) I Solved for R using the cosine law: R^2 = 525^2 + 98^2 - 2(525)(98)cos60° R^2 = 285229 - 102900cos60 R^2 = 233779 R = 483.5 km/h As for the angle, theta, I also used the cosine law: 98^2 = 525^2 + 483.5^2 = 2(525)(483.5)cosθ -499793.25 = -507675cosθ cosθ = 0.9844 θ = 10.1° Is my method correct? Thank you in advance!