Question

a boat sails 150km N60°E, then 100km West. What is it's displacement from its starting point?

Answer 1

North 150 cos 60 = 75 km N

East 150 sin 60 - 100 = 29.9 km E

distance = sqrt(75^2+29.9^2)

tan angle north of east = 75/29.9

Answer 2

if you want the compass angle east of north, it is 90 - that