Determine the magnitude and direction of the resultant force.

Here is the solution to question 9:

9. Determine the magnitude and direction of the resultant force.

Step 1: Determine the angles of the cables with the vertical pole.
Let point A be the origin $(0,0)$. The pole AC is along the negative y-axis.
The height of the pole $AC = 2.5 \, m$.
The horizontal distance $BC = 2 \, m$.
The horizontal distance $CD = 1.9 \, m$.

For cable AB:
Let $\theta_1$ be the angle between cable AB and the vertical line AC.

$$\tan \theta_1 = \frac{BC}{AC} = \frac{2 \, m}{2.5 \, m} = 0.8$$