Solve the problem.
-Find the distance in kilometers between the cities whose latitudes are given. Assume that the cities are on a north-south line and that the radius of the earth is $6400 \mathrm {~km}$. City E, $47 ^ { \circ } \mathrm { N }$ and city F, $80 ^ { \circ } \mathrm { S }$
A) $3678 \mathrm {~km}$
B) $14,194 \mathrm {~km}$
C) $3686 \mathrm {~km}$
D) $14,186 \mathrm {~km}$

Question

Quizplus · Accepted Answer

The distance between two points on the Earth's surface along a north-south line is calculated using the formula: Distance = $ \frac{\pi}{180} \times \text{Earth's radius} \times \text{difference in latitude} $. The difference in latitude between City E and City F is $47^\circ + 80^\circ = 127^\circ$. Thus, the distance is $ \frac{\pi}{180} \times 6400 \times 127 \approx 14,186 \mathrm{~km}$.

Solve the Problem 6400 km6400 \mathrm {~km}6400 km City E 47∘N47 ^ { \circ } \mathrm { N }47∘N

Solve the Problem $6400 \mathrm {~km}$ City E $47 ^ { \circ } \mathrm { N }$