Chapter 1, Problem 54GP

To determine

To Find: The distance travelled by the person.

Answer to Problem 54GP

  $1.15\text{ miles}$

Explanation of Solution

Given:

The person is walking until he changed the latitude of $1\text{ minute}$ of arc.

Radius of the earth is $R=6.38\times {10}^3\text{km}$

Formula used:

Distance $=\frac{\theta }{360°}\times 2\pi R$

Where,

  $R$ is the radius

  $\theta$ is the angle

Calculation:

Distance travelled can be calculated as:

  $\begin{array}{c}d=\left[\frac{2\pi \left(6.38\times {10}^3\right)}{360°}\right]\times \left(\frac{0.621\text{ mi}}{1\text{ km}}\right)\left(1\text{min}\right)\left(\frac{1°}{60\text{ min}}\right)\\ =1.15\text{ miles}\end{array}$

Conclusion:

Therefore, distance travelled by the person is 1.15 miles.