For the plane in Exercise 9 to land in Albuquerque, it must head a bit north. Let A represent the measure of the angle north of west.
a. For the plane to fly directly west, the northward component of the plane's motion and the wind's southward component must sum to zero. At what angle must the plane fly to head directly to Albuquerque? Write an equation and solve for A.
b. Using the value of A you found in 10a, write parametric equations to model the plane's flight, and graph them to verify that the plane travels directly west.
c. For what bearing should the pilot set his instruments?