Question

Carmen walks 12 blocks east and 4 blocks north.

What is her direction(degree) of displacement?

Group of answer choices

71.57 degrees

18.43 degrees

48 degrees

31.2 degree

Answer 1

Let θ be the angle north of east. Then tan θ = north/east = 4/12 = 1/3, so θ = arctan(1/3) ≈ 18.43°.

Answer: 18.43 degrees.