Chapter 9.7, Problem 3E

To determine

To Find: the farthest point one can see from the surface of earth if one is at balloon floating $10\text{ km}$ above the ocean.

Answer to Problem 3E

  $350\text{ km}$

Explanation of Solution

Given:

Height above the surface of earth is $10\text{ km or 10,000 m}$ .

Calculation:

Using the formula.

  $\begin{array}{l}{\left(\text{Distance}\right)}^2=12,800,000\times \text{Height}\\ {\text{D}}^2=12,800,000\times \text{10,000}\\ \text{D=}\sqrt{12,800,000\times \text{10,000}}\\ D=357.77\text{ km}\\ D=350\text{ km}\end{array}$

Therefore, the answer is $350\text{ km}$ .