This question might be too trivial for a linear algebra topic but I am not sure what I am doing wrong.

Heres the problem. A is 62.0 an Theta is 58.0 Degrees

I made the triangles and I believe A^y is 29.1 => sin(28) *62.0

A^x is 54.7. => 29.1/tan(28)

for B. B^y is 22.47 => sin(58) * 26.5

B^x is 14.04 => 22.47/tan(58)

C is simply C^y is -31.0

So my equations are

A= 54.7 i + 29.1 j

B= 14.04 i + 22.47 j

C= 0 i - 31.0 j

I wanted to find R^x and R^y and that is simply adding all the related components.

R^x= 68.74

R^y=20.57

I have R^y right but R^x is wrong. Finding the magnitude and angle are easy after that but I am probably getting them wrong from doing R^x wrong. But I keep checking the math and I guess im not seeing something.

Thanks

Edit:

http://imgur.com/ThOBX

Posted a picture of the vectors