# Displacement of angles with different degrees

1. Sep 27, 2009

### Trizz

1. The problem statement, all variables and given/known data

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 3.0 km long heading 315° counterclockwise from east.

(a) Graphically add the hiker's displacements in the order A, B, C.

Magnitude of displacement: _________ km
Direction of displacement: ___________ ° (counterclockwise from east)

(b) Graphically add the hiker's displacements in the order C, B, A.
Magnitude of displacement: _________ km
Direction of displacement: ___________ ° (counterclockwise from east)

2. Relevant equations

3. The attempt at a solution

I honestly do not know where to begin with this one.

The questions before it in my homework involved displacement of straight lines, which was pretty straightforward, and questions later in the assignment involved displacement lines that formed right triangles, where i would simply find the hypotenuse through the Pythagorean theorem.

When I draw these lines out, it forms an odd shape from which I have no idea where to proceed. Maybe I'm simply drawing them wrong, but if anyone has some helpful tips for ways that I can attack this problem, that would be great. Thank!

2. Sep 27, 2009

### bigmac

Hey, I think I sort of know how to do this. I did something like this before using components. Basically you have to add all three components and you can then find the displacement.

displacement would be square root of the sum of x component squared + the sum of y component squared

3. Sep 27, 2009