Help With Physics Vector Problem

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SUMMARY

The discussion centers on solving a physics vector problem involving a cyclist's journey. The cyclist travels 3.7 km west and then 6.6 km at an angle of 57º west of north, ultimately ending up 2.3 km at 10º south of east from the starting point. The key equations used include Ax = Acosθ, Ay = Asinθ, and the Pythagorean theorem a² + b² = c². The original poster confirmed that their solution was correct after reviewing their calculations.

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Homework Statement



Someone bikes 3.7 km due west, and then 6.6 km at 57º west of north. The person continues for an unknown distance in an unknown direction. He ends up 2.3 km at 10º south of east of where he started.
Find the magnitude and specific direction of the third part of the person's trip.

Homework Equations



Ax = Acosθ
Ay = Asinθ
a2 + b2 = c2
tanθ = y/x

The Attempt at a Solution



kd2838.png

I have a feeling that something isn't checking out. If someone can take a look over that work and see if I've gone wrong somewhere, that would be great.

Thanks in advance for the help!
 
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I just did the problem. It is fine.
 

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