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umka21 [38]
3 years ago
8

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?

Physics
1 answer:
labwork [276]3 years ago
5 0

Answer:

c = 13.5 m

Explanation:

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

c = \sqrt{a^{2}+b^{2}-2.a.b.cosθ}

  • from the diagram β = 55 degrees because they are alternate angles

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

         θ + 55 = 180

         θ = 180 - 55

        θ = 125 degrees

  • c = \sqrt{a^{2}+b^{2}-2.a.b.cosθ}

            c = \sqrt{5^{2}+10^{2}-2.5.10.cos125}

           c =\sqrt{25+100-(-57.4)}

           c = 13.5 m

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