An ant on a picnic table travels 40 cm eastward, then 25 cm northward, and finally 15 cm westward. What is the ant's directional displacement relative to its original position?

Answer 1

X = 40-15 = 25 cm.
Y = 25 cm.

tanA = Y/X = 25/25 = 1.00
A = 45o. = Direction.

Mag. = X / cos45 = 25/cos45 = 35.36 cm.