The resultant of two forces has magnitude 20N. One of the forces is of magnitude `20sqrt(3)N` and makes an angle of `30^(@)` with the resultant. Then what is the magnitude of the other force?

Explanation

To solve the problem, we need to find the magnitude of the second force given that the resultant of two forces is 20 N, one force is \(20\sqrt{3}\) N, and it makes an angle of \(30^\circ\) with the resultant. We will use the law of cosines to find the magnitude of the second force.

### Step-by-Step Solution:

1. **Identify the Given Information:**
- Magnitude of the resultant force \( R = 20 \, \text{N} \)
- Magnitude of the first force \( A = 20\sqrt{3} \, \text{N} \)
- Angle between the first force and the resultant \( \theta = 30^\circ \)
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