A river is flowing from west to east with a speed of `5 m//min.` A man can swim in still water with a velocity `10m//min.` In which direction should the man swim so as to take the shortest possible path to go to the south.

Options

A. `120^(@)`
B. `90^(@)`
C. `60^(@)`
D. `30^(@)`

Explanation

To solve the problem of determining the direction in which the man should swim to take the shortest path to the south while accounting for the river's current, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**:
- The river flows from west to east with a velocity of \( v_r = 5 \, \text{m/min} \).
- The man can swim in still water with a velocity of \( v_m = 10 \, \text{m/min} \).
- We need to find the angle at which the man should swim to ensure he moves directly south.
...