Calculating Displacement for Cody and Megan

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Cody and Megan walked 58 m north and 32 m west, leading to a resultant displacement calculated using the Pythagorean theorem, yielding a magnitude of approximately 66.24 m. To fully determine their displacement, the direction must also be calculated using trigonometric functions. Specifically, the angle of the resultant displacement relative to the axes needs to be identified. This involves applying basic trigonometry to find the angle formed with either the x or y axis. Understanding both magnitude and direction is essential for a complete analysis of their displacement.
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Homework Statement


3. Cody and Megan were trying to find a new tattoo parlor. They walked 58 m north and 32 m west. What was their resultant displacement?


Homework Equations


(32m)^2+(58m)^2=c^2

The Attempt at a Solution


(32m)^2+(58m)^2=c^2
1024+3364=c^2
√ 4388m^2= √c^2
c=66.24 m

Any help would be greatly appreciated! Thanks!


 
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