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**Tension Problem x and y components??**

## Homework Statement

A man of mass 70.0 kg hangs by 2 cables A and B each inclined at 60.0 degrees to the horizontal.

A horizontal pulling force F is applied to the man pulling to the right. The man remains stationary. If F has magnitude 250 N, find the magnitudes of the tension in the 2 cables.

## Homework Equations

F=w=mg

A+B+F+W=0

## The Attempt at a Solution

(70 kg)(9.8)=686 N

the downward W force is 686 N

x-component

Ax+Bx+F=0

Acos120+Bcos60+250=0

y-component

Ay+By+W=0

Asin120+Bsin60+686=0

I know there is a system of equations here and that i can use substitution or trigonometric triangles but im not sure how to approach either of these methods. Any help would be great. Sorry i don't have a picture, i hope it makes sense.