Answer:
8006 km
Step-by-step explanation:
The radius of the Earth can be used to find the circumference. The difference in latitude compared to the full circle of 360° will give the fraction of that circumference that is the distance of interest.
<h3>Circumference</h3>
Reportedly, the radius of the Earth is about 6371 km. Then the circumference is ...
C = 2πr
C = 2π(6371 km) ≈ 40,030.2 km
<h3>Distance</h3>
The angle between the two cities as measured at the center of the Earth is given by the difference in latitude. We can consider North Latitude to be positive, and South Latitude to be negative. Then the difference is ...
(10° -(-62°)) = 72°
As a fraction of the full central angle, that is ...
72°/360° = 1/5
This fraction of the entire circumference is ...
(1/5)(40,030.2 km) ≈ 8,006 km
The distance between the two cities is about 8,006 km.
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<em>Additional comment</em>
The shape of the Earth is called an "oblate spheroid." It has a bulge south of the equator, so is not a perfect sphere. Reportedly the longitudinal circumference is about 40,075 km, a little farther than we computed. One-fifth of that distance is 8015 km.
