A plane travels 3 km due north, then 5 km due northeast. Represent these two displacements graphically and determine the resultant displacement by finding is magnitude and direction.

Answer 1

y component = North = 3 + 5 sin 45
x component = East = 5 cos 45

d = sqrt (x^2 + y^2)

tan T = y/x where T is angle above x axis

90-T = angle clockwise from north