Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.
-Find the distance between City E, $43 ^ { \circ } \mathrm { N }$ and City $\mathrm { F } , 64 ^ { \circ } \mathrm { S }$. (Round to the nearest kilometer.)
A) $11,960 \mathrm {~km}$
B) $2338 \mathrm {~km}$
C) $11,952 \mathrm {~km}$
D) $2346 \mathrm {~km}$

Question

Quizplus · Accepted Answer

The distance between two cities on the same north-south line is calculated using the formula: $ \text{Distance} = \frac{\pi}{180} \times \text{Earth's radius} \times \text{Difference in latitude} $. The difference in latitude between $43^\circ N$ and $64^\circ S$ is $107^\circ$. Thus, the distance is approximately $ \frac{\pi}{180} \times 6400 \times 107 \approx 11,952 $ km.

Assume That the Cities Lie on the Same North-South Line 43∘N43 ^ { \circ } \mathrm { N }43∘N

Assume That the Cities Lie on the Same North-South Line $43 ^ { \circ } \mathrm { N }$