College

Assuming Earth to be a sphere with a radius of 4000 miles, how many miles north of the Equator is City A, if it is 36° north from the Equator?

Answer :

Answer:

2513 miles

Explanation:

[tex]\sf Length \ of \ arc = \dfrac{\theta}{360} * 2\pi r[/tex]

Here given:

∅ = 36°

radius = 4000 miles

Insert following:

[tex]\sf \rightarrow \dfrac{36}{360} * 2\pi (4000)[/tex]

[tex]\sf \rightarrow 800\pi \ \ \ (in \ terms \ of \ \pi )[/tex]

[tex]\sf \rightarrow 2513.3 \ \ (rounded \ to \ nearest \ tenth)[/tex]

[tex]\sf \rightarrow 2513 \ \ (rounded \ to \ nearest \ mile)[/tex]

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