2 Dimensional Tension Force Homework Help

[amberacd123]

Homework Statement

A sign is suspended from two strings as shown. Determine the wheight of the sign.
Left string: Fτ=25 Newtons; ∅=40 degrees
Right String:Fτ=25 Newtons; ∅=40 degrees

Homework Equations

i no that the mass is at equilibrium, so the tension forces are equal and opposite.

The Attempt at a Solution

I first used sin to help me and I got 16.1 Newtons on both sides, but I don't know where to go from there.

 

[haruspex]

I first used sin to help me and I got 16.1 Newtons on both sides, but I don't know where to go from there.

In the free body diagram of the sign, what do you get for the balance of vertical forces?