A crow flies in two successive displacements to a point that is 80 m to the west. Its first displacement is 80 m in a direction θ = 50° west of north.

Question

What is the magnitude of its second displacement?

What is its direction as measured by the angle θ measured west from north?

Answer 1

Well, do the math:

Final position=displacement1+displcement2
80W=(80Sin50 W + 80 cos50N)+ displacement2

so I see displacement2 as
80(1-sin50)W -80 cos50 N or
18.7 W -51.2 N or 51.2S+18.7W

You can do the magnitude and direction

Answer 2

Would it be sqrt( (51.2)^2 + (18.7)^2 )?

Answer 3

8 years ago, Bob had no idea wtf he was talking about