Vectors as Paths with measuring degrees

[Ally385]

Homework Statement

A hiker's trip consists of three segments. Path A is 6.0 km long heading 60.0° north of east. Path B is 6.0 km long in a direction due east. Path C is 4.0 km long heading 315° counterclockwise from east.
(a) Graphically add the hiker's displacements in the order A, B, C.
Magnitude of displacement and direction of displacement degrees counterclockwise from east.
(b) Graphically add the hiker's displacements in the order C, B, A.
Magnitude of displacement and direction of displacement degrees counterclockwise from east.

Homework Equations

asquared + bsquared = csquared?

The Attempt at a Solution

I thought that I would just draw these paths out to scale and then just measure but I was wrong. I also don't understand what it means when it says counterclockwise from east.

 

[tiny-tim]

Hi Ally385!

I thought that I would just draw these paths out to scale and then just measure

that should work

I also don't understand what it means when it says counterclockwise from east.

315° counterclockwise from east means the same as 45° clockwise from east

 

[Ally385]

Maybe I was just measuring wrong.

And the 45 makes since. I was doing 315-180.

Thanks!