Final answer:
To find the course the pilot has to set, start by finding the vectors representing the desired velocity. Solve for the velocity of the plane with respect to the ground using a vector equation. Graph the vectors and use the diagram to evaluate the plane's velocity with respect to the ground and the angle with north in the air.
Step-by-step explanation:
The subject of this question is Physics and it is applicable to High School level.
When finding the course that the pilot has to set, you need to start by finding the vectors that represent the desired velocity vector. These vectors should not have any unknowns in them. To solve for the velocity of the plane with respect to the ground, you can construct a vector equation that includes the velocity of the plane with respect to the air and the velocity of the air with respect to the ground. By graphing the vectors and using the diagram, you can determine the magnitude of the plane's velocity with respect to the ground and the angle the plane's velocity makes with north with respect to the air.