## Question 7 4 pts Assuming that the Earth is a sphere of radius 4000 miles, find the distance between the following two cit

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)

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Math
7 months
2021-10-07T09:20:27+00:00
2021-10-07T09:20:27+00:00 1 Answer
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## Answers ( )

Answer:

308.4miles

Step-by-step 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