Final answer:
A pilot must use a vector equation and create a vector diagram to compensate for wind by determining the correct plane heading with respect to the ground. This includes calculating the velocity of the plane and the air relative to the ground.
Step-by-step explanation:
In the context of a pilot compensating for wind during a flight rather than a spin per se, the pilot needs to understand vector addition to deal with crosswind situations. The pilot must create a vector equation that incorporates the velocity of the plane with respect to the ground, the velocity of the plane with respect to the air, and the velocity of the air with respect to the ground.
The known quantities are the velocities of the plane with respect to the air and the air with respect to the ground. To determine the proper heading, the pilot can graph these vectors.
The resultant vector will show the velocity of the plane with respect to the ground. This information is crucial to find out the direction that the pilot must point the plane, which is slightly east of north in this case to compensate for the wind.
To find the magnitude and angle of the plane's velocity with respect to the ground, a vector diagram is used. This diagram helps the pilot visualize the necessary correction angle to maintain the intended flight path.