Complex Addition/Examples/Travel 2/Mistake

Source Work

 * Chapter $1$: Complex Numbers
 * Supplementary Problems: Polar Form of Complex Numbers: $85$

Mistake

 * An airplane travels $150 \, \mathrm {km}$ southeast, $100 \, \mathrm {km}$ due west, $225 \, \mathrm {km}$ $30 \degrees$ north of east, and then $323 \, \mathrm {km}$ northeast. Determine ... how far and in what direction it is from its starting point.


 * ''Ans. $\ 375 \, \mathrm {km}$, $23 \degrees$ north of east (approx.)

Correction
The correct solution is:


 * $490$ kilometres in a direction $28.7 \degrees$ north of east from its starting point.