Find the distance btw two cities. Assume that the Earth is is a sphere of the radius 4000 miles and that the cities are the on the same longitude(one city is due north of the other).
use s = rθ
To find the distance between two cities, assuming they are on the same latitude and one city is due north of the other, we can use the formula for calculating the distance on the surface of a sphere. In this case, the Earth is considered a sphere with a radius of 4000 miles.
The formula to find the distance is:
distance = radius * Δθ
Where:
- distance is the distance between the two cities,
- radius is the radius of the Earth (in this case, 4000 miles), and
- Δθ is the angular separation between the two cities, measured in radians.
In this situation, since the cities are on the same longitude and one city is due north of the other, the angular separation Δθ would be 90 degrees or π/2 radians.
Using the formula, we can calculate the distance:
distance = 4000 * (π/2) ≈ 6283 miles
Therefore, the distance between the two cities is approximately 6283 miles.