Chapter 20, Problem 55A

The 'height' of the atmosphere is about 30 km. The radius of Earth is 6400 km. What percentage of Earth’s radius is the height of the atmosphere?

To determine

Height of atmosphere in percentage of Earth’s radius.

Answer to Problem 55A

The percentage of height of atmosphere in comparison to Earth’s radius is $0.46875\text{\%}$ .

Explanation of Solution

Given:

The height of atmosphere is 30 km.

The radius of Earth is 6400 km.

Formula Used:

The percentage formula is,

  $\%=\frac{X}{Y}\times 100$

Here, $X$ - Whose percentage is to be calculated and

  $Y$ - In reference to which percentage is to be calculated.

Calculation:

The percentage of height of atmosphere in comparison to Earth’s radius is,

  $\begin{array}{c}\%=\frac{30\text{km}}{6400\text{km}}\times 100\\ =0.46875\text{\%}\end{array}$

Conclusion:

Therefore, the percentage of height of atmosphere in comparison to Earth’s radius is $0.46875\text{\%}$ .