I managed to find the magnitude of the resultant force for this problem which was 356 N from its components derived from the sum of forces where I got <200,-280> I used the arc tan to get and angle of 54.5 deg but this is not right what am I doing wrong?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I managed to find the magnitude of the resultant force for this problem which was 356 N from its components derived from the sum of forces where I got <200,-280> I used the arc tan to get and angle of 54.5 deg but this is not right what am I doing wrong?

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Based on the signs of the x and y components of the resultant force, note that the resultant force lies in the fourth quadrant. The x component being positive and the y component being negative means that the angle between the resultant force and the x-axis should be between 270 and 360 degrees, or equivalently, between -90 and 0 degrees.

 

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