(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If θ=30 degrees find the direction and magnitude of the resultant of these forces.

[PLAIN]http://img194.imageshack.us/img194/7899/image2iw.jpg [Broken]

2. Relevant equations

3. The attempt at a solution

Ok, so I know I have to add both of the vectors. I need to find the coordinates to do so. The first vector's coordinates must be <220,0>. Next I need to find the second vector's coordinates:

x=150cos30

x=[150√(3)]/2

y=150cos30

y=75

so the second vector has the coordinates <[150√(3)]/2,75>

If you add the second and the first vectors you get <[590√(3)]/2,75>

Then I found the magnitude of this new vector to be 590.63 newtons. However, this is wrong because the book's answer section says the magnitude should be 357.85 newtons.

If i go on to find the direction that also turns out wrong. What am I doing wrong?

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# Homework Help: Vectors and Forces

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