Determine the tension force in each of the wires shown in Figure 1 Below.

Step 1: Resolve forces into horizontal and vertical components.
Let $T_P$ be the tension in wire P and $T_Q$ be the tension in wire Q. The system is in equilibrium, so the sum of forces in the horizontal (x) and vertical (y) directions must be zero.

The angles given are with respect to the horizontal.
Horizontal components:
The horizontal component of $T_P$ acts to the left: $-T_P \cos(45^\circ)$.
The horizontal component of $T_Q$ acts to the right: $T_Q \cos(30^\circ)$.
Sum of horizontal forces:

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