A man swim at an angle `theta=120^(@)` to the direction of water flow with a speed `V_(mw)`=5 km/hr relative to water.If the speed of water `V_(w)`=3 km/hr, Find the speed of the man.

Explanation

To solve the problem, we need to find the speed of the man swimming at an angle of \( \theta = 120^\circ \) to the direction of the water flow. The speed of the man relative to the water is given as \( V_{mw} = 5 \) km/hr, and the speed of the water is \( V_w = 3 \) km/hr.

### Step-by-Step Solution:

1. **Understanding the Problem**:
We need to find the resultant speed of the man swimming in a river where the water is flowing. The man swims at an angle of \( 120^\circ \) to the flow of the water.

2. **Setting Up the Vectors**:
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