An airplane flies due north at 220 km/h with respect to the air. There is a wind blowing at 65 km/h to the northeast with respect to the ground. What are the plane's speed and direction with respect to the ground?

Answer 1

Pg=Pa+Ag

= 220N+65NE=220N+65*.707N+65*.707E
= 220N+46N+46E=266N+46E

= sqrt(266^2+46^2) speed, direction = arctan46/366 E of N