The density of the atmosphere at sea level is `1.29 kg//m^(3)`. Assume that it does not change with altitude, how high should the atmosphere extend?

Explanation

To find the height to which the atmosphere extends, we can use the hydrostatic pressure equation, which relates the pressure difference to the density of the fluid and the height. Here are the steps to solve the problem:

### Step-by-Step Solution:

1. **Identify Given Values**:
- Density of the atmosphere at sea level, \( \rho = 1.29 \, \text{kg/m}^3 \)
- Atmospheric pressure at sea level, \( P_0 = 1.03 \times 10^5 \, \text{Pa} \)
- Pressure at the top of the atmosphere, \( P = 0 \, \text{Pa} \) (since the pressure is zero at the top of the atmosphere)
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