Question

Question 7

4 pts
Assuming that the Earth is a sphere of radius 4000 miles, find the
distance between the following two cities whose latitudes are given.
You may assume that these cities are on the same basic longitude.
Cincinnati, Ohio (39° 8' 46" N) and Huntsville, Alabama (34° 43'41"N)
Next >

Answer 1

308.4miles

Explanation:

Given that radius of earth= 4000miles

Change in latitude = 39° 8' 46" - 34° 43'41"

= 4° 25' 5"

= 4+25/60+5/3600

4+0.4166+0.00138

θ = 4.417°

Converting to radian = 4.417°×π÷180

= 4.417×0.0174

= 0.07710

Distance between the cities = rθ

S = 4000×0.07710

S= 308.4miles