Complex Addition/Examples/Travel 1

Example of Complex Addition
A man travels:
 * $12$ kilometres northeast

then:
 * $20$ kilometres $30 \degrees$ west of north

then:
 * $18$ kilometres $60 \degrees$ south of west.

Assuming the curvature of the Earth to be negligible at this scale, at the end of this travel, he is $14.7$ kilometres in a direction $45 \degrees 49'$ west of north from his starting point.