Super important ! madison, wisconsin has a latitude of 43.0731° n and eagle river, wisconsin has a latitude of 45.9172° n, assuming the earth is a sphere with a diameter of 7,917.5 miles, what is the distance between these 2 cities along the arc of the earth's surface? show all work for full credit.

Distance between two cities is 193.94 miles.

Step-by-step explanation:

We have,

Madison and Wisconsin have latitudes 43.0731°N and 45.9172°N respectively.

Thus, their difference is 45.9172°N - 43.0731°N = 2.8441°

We assumed, the diameter of earth is 7917.5 miles.

So, the radius = = 3958.75 miles

So, using the cosine formula, we have,

i.e.

i.e.

i.e.

i.e. a= 193.94 miles.

Hence, the distance between two cities is 193.94 miles.