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Two axial members, namely $\text{OP}$ and $\text{OQ}$, are pin joined at $\text{O}$ as shown in the figure. A force $F$ acts at point $\text{P}$ along the positive $x$ direction and a force $\sqrt{3} F$ acts at point $\text{Q}$ along the positive $y$ direction.

The resultant of the applied forces makes an angle $\theta$ (anticlockwise from the positive $x$ -axis).

The value of $\theta$ is $\_\_\_\_$.

  1. $30^{\circ}$
  2. $45^{\circ}$
  3. $60^{\circ}$
  4. $75^{\circ}$

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