Rain is falling vertically with a speed of `1 ms^(-1)` . A woman rides a bicycle with a speed of 1.732 `ms^(-1)` in east to west direction. What is the direction in which she should hold her umbrella ?

Explanation

To solve the problem of determining the direction in which the woman should hold her umbrella while riding her bicycle in the rain, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the velocities**:
- The rain is falling vertically downwards with a speed of \( v_r = 1 \, \text{m/s} \).
- The woman is riding her bicycle from east to west with a speed of \( v_b = 1.732 \, \text{m/s} \).

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