The density of the atmosphere at sea level is `1.29 kg//m^(3)`. Assume that it does not change with altitude. Then how high would the atmosphere extend ? `g=9.8 ms^(-2)`. Atmospheric pressure `=1.013 xx 10^(5) Pa`.

Explanation

To find out how high the atmosphere would extend, we can use the relationship between pressure, density, gravitational acceleration, and height. The hydrostatic pressure equation states that the pressure difference between two points in a fluid is equal to the product of the fluid's density, gravitational acceleration, and the height difference.

### Step-by-Step Solution:

1. **Understand the Hydrostatic Pressure Equation**:
The hydrostatic pressure equation is given by:
\[
P = \rho g h
...