What Is the Magnitude and Direction of Eduardo's Displacement?

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Eduardo the samurai toaster traveled 120 m north and then 72 m west, leading to a displacement that can be calculated using the Pythagorean theorem. The correct magnitude of the displacement is approximately 139.94 m. However, the direction is not exactly northwest, as Eduardo moved further north than west. To determine the precise direction, it's recommended to draw a diagram and calculate the angle relative to north. Understanding both the magnitude and direction is essential for accurately describing Eduardo's displacement.
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Homework Statement


Eduardo the samurai toaster was out for an evening stroll and went 120 m due north then turned and went 72m due west. Find the magnitude and direction of the dog's displacement.


Homework Equations


a^2+b^2=c^2



The Attempt at a Solution


sqrt of (72^2+72^2)= 139.94m NW
 
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samurai toaster / dog? I don't know why you're talking about such weird objects. But anyway, what the object is doesn't matter.

In your answer, you got the magnitude of 139.94m correct, (but the working was incorrect, I'm guessing you just typed it wrong).

The question also asked for the direction the object went. You wrote NW, but actually it wasn't exactly north-west, since he traveled further north than he traveled west.

To work out the direction, just draw a diagram of the situation, and you can work out the angle which he was walking with respect to north.
 

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