To open a vertical gate, two people push on it. The diagram shows the forces each person applies to the gate. One person is a distance $d_1$ from the hinge of the gate and applies a horizontal force $F_1$ at an angle $\theta_1$ to the gate. The other person is a distance $d_2$ from the hinge and applies a horizontal force $F_2$ at an angle $\theta_2$ to the gate. What is the combined moment about the hinge produced by forces $F_1$ and $F_2$?
- A$(d_1 \times F_1 \cos \theta_1) + (d_2 \times F_2 \cos \theta_2)$
- B$(d_1 \times F_1 \sin \theta_1) + (d_2 \times F_2 \sin \theta_2)$
- C$(d_1 \times F_1 \cos \theta_1) - (d_2 \times F_2 \cos \theta_2)$
- D$(d_1 \times F_1 \sin \theta_1) - (d_2 \times F_2 \sin \theta_2)$