What Is the Displacement of the Wandering Wolf?

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The discussion revolves around calculating the displacement of a wolf that wanders in multiple directions. The wolf's movements are described in terms of distances and angles, with a specific sign convention for direction. The attempted solution suggests using vector subtraction to find the overall displacement but results in confusion regarding the reference point. The poster seeks clarification and guidance on accurately determining the displacement. Ultimately, the need for a clear method to visualize the wolf's path and calculate the shortest distance is emphasized.
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Homework Statement


A wolf wanders 64 m [N15E], 93m[N20W], and 167 m [N]. What is her displacement?

North to South east is considered positive by my sign convention, and from south to north west, it is considered to be negative, once again by my sign convention. I've never seen problems like this before, I did make an attempt but i am getting the answer wrong.


Homework Equations



Δ d = d3 - d2 - d1



The Attempt at a Solution



Δd= (+ 167m [N]) - ( -93 m [N20W]) - (+ 64m [N15E])
= 324 m [N5W]
 
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Displacement is the shortest distance between your initial distance and final distance. Try drawing the wolfs movement on a paper with the angles then draw a line between the initial distance and final distance that is the displacement
 
So then what point is my point of reference, and i tried it but still nothing. Can someone do it and show how they got the right answer??
 
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