# Answer to Question #18267 in Mechanics | Relativity for Ashlyn Kennedy

Question #18267

A person walks 22 m East and then walks 38 m at an angle 49 degrees North of East. What is the magnitude of the total displacement?

Expert's answer

According to the law of cosines:

a = √(b² + c² - 2*b*c*cos(α)) = √(22² + 38² - 2*22*38*cos(180° - 49°)) ≈ 55.0 m.

a = √(b² + c² - 2*b*c*cos(α)) = √(22² + 38² - 2*22*38*cos(180° - 49°)) ≈ 55.0 m.

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