a man travels 7km 40° west of north, then 10km east. find the resultant displacement

Answer 1

convert from polar to rectangular form
add the x- and y-components to get the resultants
Then find the magnitude in the usual way.

what do you get?

Answer 2

All angles are measured CW from +y-axis.
D = 7[320o] + 10[90],
D = (7*sin320+10*sin90) + (7*cos320+10*cos90)l,
D = 5.50 + 5.36i = 7.7km[45.7o] CW.

Answer 3

Hi