Determine the magnitude and direction of the displacement if a man walks 32.5 km 45° north of east, and then walks due east 19.5 km.

Answer 1

Add the vectors. Break them up into components.

32.5km @45deg= 32.5*sin45 N + 32.5*cos 45 E

add that to 19.5E

32.5*sin45N + (32.5*.707+19.5)E

I assume you can take if from here.

Answer 2

R=48,2