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

User Punitcse
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1 Answer

8 votes

Answer:

2513 miles

Step-by-step explanation:


\sf Length \ of \ arc = (\theta)/(360) * 2\pi r

Here given:

∅ = 36°

radius = 4000 miles

Insert following:


\sf \rightarrow (36)/(360) * 2\pi (4000)


\sf \rightarrow 800\pi \ \ \ (in \ terms \ of \ \pi )


\sf \rightarrow 2513.3 \ \ (rounded \ to \ nearest \ tenth)


\sf \rightarrow 2513 \ \ (rounded \ to \ nearest \ mile)

User Yguw
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