PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! SUPER IMPORTANT QUESTION!!!

Mathematics

1 answer:

Anettt [7]3 years ago

8 0

Answer:

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 = $\frac{7917.5}{2}$ = 3958.75 miles

So, using the cosine formula, we have,

$a^{2}=b^{2}+c^{2}-2bc\cos A$

i.e. $a^{2}=3958.75^{2}+3958.75^{2}-2\times 3958.75\times \cos 2.8441$

i.e. $a^{2}=31343403.13\times 0.0012$

i.e. $a^{2}=37612.08$

i.e. a= 193.94 miles.

Hence, the distance between two cities is 193.94 miles.

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