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2 years ago

12

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 E

quator?

1 answer:

vredina [299]2 years ago

5 0

Answer:

2513 miles

Explanation:

$\sf Length \ of \ arc = \dfrac{\theta}{360} * 2\pi r$

Here given:

∅ = 36°

radius = 4000 miles

Insert following:

$\sf \rightarrow \dfrac{36}{360} * 2\pi (4000)$

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

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

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

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