What is the resultant displacement of a dog looking for its bone in the yard, if the dog first heads 55° north of west for 10.0 m, and then turns and heads west for 5.00 m?

c = 13.5 m

Explanation:

from the attached diagram, we can apply the cosine rule to get the resultant displacement (c) where

c =

         θ + β = 180  (sum of angles on a straight line )

         θ + 55 = 180

         θ = 180 - 55

        θ = 125 degrees

            c =

           c =

           c = 13.5 m

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