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**1. Homework Statement**

An object has a weight of 20N. It is supported by three strings to keep it in equilibrium, all attached to a smooth ring on the object. String A has a tension of 15N to the right of the block. String B is (a)degrees away from string A and String C is 90degrees away from String B. String B and C have the same tension. Show that the angle is 82 degrees

**2. Homework Equations**

cos(theta)/sin(theta)=tan(theta)

Forces in equilibrium cancel each other out.

**3. The Attempt at a Solution**

So far I've got this, but get stuck past this point:

15+Bcos(a)=Acos(90-a) and 20=Bsin(a) + Asin(90-a)

A and B then can be replaced by T and rearranged:

__Tcos(a)=-Tsin(90-a) + 20__

Tsin(a)= Tcos(90-a)-15

tan(a)= -Tsin(90-a)+20/Tcos(90-a)-15

But then I don't know how to resolve it. Any help at all would be greatly appreciated! Many Thanks!