An ant crawls 23 m to the north, then turns 30° towards the right and crawls another 23 m. Determine the direction of the ant's displacement vector, expressed as an angle relative to east.

Answer 1

D = 23[90o] + 23[30o].

D = 23i + 19.9+11.5i = 19.9 + 42.9i = 47.3m[65.1o].

Direction = 65.1o N. of E.

Answer 2

Correction: D = 23i + 19.9+11.5i = 19.9 + 34.5i = 39.8m[60.0o].

Direction = 60.0o N . of E.