Find the angle made by the line x `cos 30^(@)+y sin 30^(@)+sin 120^(@)=0` with the positive direction of the x-axis.

Explanation

To find the angle made by the line \( x \cos 30^\circ + y \sin 30^\circ + \sin 120^\circ = 0 \) with the positive direction of the x-axis, we can follow these steps:

### Step 1: Substitute the values of trigonometric functions
We know:
- \( \cos 30^\circ = \frac{\sqrt{3}}{2} \)
- \( \sin 30^\circ = \frac{1}{2} \)
- \( \sin 120^\circ = \sin(180^\circ - 60^\circ) = \sin 60^\circ = \frac{\sqrt{3}}{2} \)

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