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)
Next >
in progress
0
Math
7 months
2021-10-07T09:20:27+00:00
2021-10-07T09:20:27+00:00 1 Answer
0 views
0
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