Your younger brother who wishes to be a pilot reads a news article about a search and rescue plane. In this search and rescue operation, an ultra-light aircraft travelling north at 30 km/hr encounters a 40 km/hr crosswind. After explaining to him that a crosswind is wind that blows at right angle with the direction of the plane, he then asks you: How fast and in what direction will the plane move as it gets affected by the crosswind?
north velocity = 30
(assume west wind so blowing plane east)
east velocity = 40
total speed = sqrt (30^2+40^2) = 50 km/hr
tan angle east of north = 40/30
angle east of north = 53.1
or about northeast by east (NExE)