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 $\mathrm { E } , 53 ^ { \circ } \mathrm { N }$ and City F, $55 ^ { \circ } \mathrm { S }$. (Round to the nearest kilometer.)
A) $12,064 \mathrm {~km}$
B) $223 \mathrm {~km}$
C) $215 \mathrm {~km}$
D) $12,072 \mathrm {~km}$

Question

Quizplus · Accepted Answer

The distance between two points on the same meridian can be calculated using the formula $d = \pi r \frac{\Delta \phi}{180}$, where $d$ is the distance, $r$ is the radius of the Earth, and $\Delta \phi$ is the difference in latitude in degrees. Here, the total difference in latitude is $53^\circ N + 55^\circ S = 108^\circ$. Substituting the values, $d = \pi \times 6400 \times \frac{108}{180} \approx 12,064$ km.

Assume That the Cities Lie on the Same North-South Line E,53∘N\mathrm { E } , 53 ^ { \circ } \mathrm { N }E,53∘N

Assume That the Cities Lie on the Same North-South Line $\mathrm { E } , 53 ^ { \circ } \mathrm { N }$