One example would be:
P (plane): approximate compass bearing 209° (traveling approximately southwest) at 272 f/s (185 mph); W (wind): traveling south at 32 f/s (22 mph).
Plane and wind vector components represented by ordered pairs:
P = [272 f/s cos(241°), 272 f/s sin(241°)] = -131.8, -237.9
W = [32 f/s cos(270°), 32 f/s sin(270°)] = 0, -32
-131.8 + 0 = -136
-237.9 + (-32) = -269.9
Resolved components substituted into Pythagoreans theorem for resultant speed:
||P + W|| = 131.8² + 269.9² = 90,2171/2 = 300.4 f/s (205 mph)
Resolved components substituted for resultant bearing:
tan −1(269.9/131.8) = 64°; (90° - 64°) + 180° = 206°
Deflection angle = 209° - 206° = 3°
Ground track displacement = 3°tan(300.4 f/s) = 15.7 f/s