Final answer:
The airplane will turn 210 degrees when changing its heading to the left from 065 to 215 degrees. This is calculated by taking the larger angle through which the aircraft must turn, which totals 360 minus the difference between the final and initial headings.
Step-by-step explanation:
The student has asked how many degrees an airplane will turn if it changes heading to the left from 065 degrees to a heading of 215 degrees. To calculate this, you subtract the initial heading from the final heading. However, because the airplane is turning to the left, the difference needs to be found in a counterclockwise (or anticlockwise) direction.
Starting from 065 degrees and turning to 215 degrees to the left means the airplane will sweep through 360 - 65 (which is 295) plus an additional 215 degrees. Adding 295 and 215 gives us a total of 510 degrees. But since one full turn is 360 degrees, we subtract that to find the equivalent turn within 360 degrees. Thus, 510 - 360 equals 150 degrees. However, this is not one of the options presented, and the correct approach would be to take the larger angle 360 - (215 - 65) which equals 360 - 150 = 210 degrees. So, the airplane will have turned 210 degrees. Therefore, the correct answer is a) 210 degrees.