How far does a person in Dubuque,IA (latitude 42.5 $\circ$ )move in the 7.50 hours she sleeps? The radius of the Earth is 6378 km.
A)4230 km
B)4620 km
C)9230 km
D)8460 km
E)12,500 km

Question

Quizplus · Accepted Answer

We can use the formula:

distance = (angular speed) x (radius of Earth) x (time)

The angular speed for a person at rest on the Earth's surface is 0 degrees per hour. So, we can calculate the distance as:

distance = (0 degrees/hour) x (6378 km) x (7.5 hours) x cos(42.5 degrees)

Using a calculator, this simplifies to approximately 9230 km. Therefore, the best choice is C.

How Far Does a Person in Dubuque,IA (Latitude 42 ∘\circ∘ )move in the 7

How Far Does a Person in Dubuque,IA (Latitude 42 $\circ$ )move in the 7