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Equations:

EFx= 0 since she is at equilibrium

EFy= 0 since she is at equilibrium

I got up to the part where

EFx= Tr Sin 83 -TL Sin 65.5 = 0 and I get Tr = TL Sin 65.5/ Sin 83

EFy = Tr cos 83 + TL cos 65.5 - W = 0

now when you put the two together we get

( TL sin 65.5/ sin 83 ) cos 83 + TL cos 65.5 - w = 0

this is the part where I'm stuck. I don't how they solved for the TL and w together. Do you? Thanks alot!