Miami, Florida, and Pittsburgh, Pennsylvania, lie approximately on the same meridian. Miami has a latitude of 25.8° N, and Pittsburgh has a latitude of 40.5° N. Find the distance between these two cities. (The radius of the earth is 3960 mi. Round your answer to the nearest mile.)
To find the distance between Miami and Pittsburgh, we need to calculate the difference in their latitudes and then multiply it by the circumference of the Earth at that latitude.
The difference in latitude is given by: 40.5° N - 25.8° N = 14.7°
Next, we need to convert this difference in latitude to radians:
14.7° * (π/180) ≈ 0.256
Now, we can calculate the distance by multiplying the difference in latitude by the circumference of the Earth at that latitude:
Distance = 0.256 * 2π * 3960 mi ≈ 2035.25 mi
Rounded to the nearest mile, the distance between Miami and Pittsburgh is approximately 2035 miles.