Question

A person, A, is standing on the surface of the earth. Another person with a jet pack, B, is floating 9 m above him

as shown in the figure below.
Note: Figure is not to scale
What is the difference between the distance traveled by both people, in meters, if they make a complete circular
trip around the earth? Leave answer in terms of pi.​

Answer 1

9514 1404 393

Answer:

18π m

Explanation:

Let R represent the radius of the Earth.

Person A travels a distance of ...

C = 2πr . . . . circumference of a circle of radius r

distance A = 2πR . . . . . using the Earth radius for the radius

Person B travels a distance of ...

distance B = 2π(R +9 m) = 2πR +18π m

__

Then the difference of the distances is ...

distance B - distance A = (2πR +18π m) -(2πR) = 18π m

The difference in distance traveled is 18π m.