An ocean liner leaves New York City and travels 25.1 degrees north of east for 110km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ships displacement vector in the directions, a) due east and b) due north

Answer 1

Trig, not physics
Note they gave you math class angle measured north of east (counterclockwise from x axis), not compass angle as used by navigator or physicist.

east 110 cos 25.1

north 110 sin 25.1