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## Homework Statement

Force A has a magnitude of 200 lb and points 35deg N of W. Force B points 40deg E of N. Force C points 30deg W of S. The resultant of the three forces has a magnitude of 260 lb and points 85deg S of W. Find the magnitude of forces B and C.

## Homework Equations

A+B+C=R(resultant)

A

_{x}+B

_{x}+C

_{x}=R

_{x}

A

_{y}+B

_{y}+C

_{y}=R

_{y}

## The Attempt at a Solution

So this is what I tried:

A

_{x}+B

_{x}+C

_{x}=R

_{x}

-200cos35 + Bsin40 - Csin30 = -260cos85

-163.8304 + Bsin40 - Csin30 = -22.6605

Bsin40 - Csin30 = 141.1699

A

_{y}+B

_{y}+C

_{y}=R

_{y}

200sin35 + Bcos40 - Ccos30 = -260sin85

114.7153 + Bcos40 - Ccos30 = -259.0108

Bcos40 - Ccos30 = -373.7261

This is what I tried but I still can't find the magnitude of B and C. Should I use system of equations to find B and C? Am I even on the right track?