How to find the angle between r and the x axis?

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To find the angle between vector r and the x-axis, it's essential to correctly calculate the magnitude of r. Initial calculations led to an incorrect value of 8.5, which was identified as a miscalculation. After re-evaluating the expression, the correct magnitude of r was found to be 4.6. The angle was then recalculated to be approximately 86.64 degrees, which was confirmed as correct. Accurate computation of vector components is crucial for determining angles in vector analysis.
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You miscalculated r.
 
Recheck how you computed the expression for r. The expression with the square root looks ok, but I find that it evaluates to 4.6, not 8.5.
 
fzero said:
Recheck how you computed the expression for r. The expression with the square root looks ok, but I find that it evaluates to 4.6, not 8.5.

Ok so i got 86.64 is that correct?
 
Looks right.
 
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