Question

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?

Answer 1

Answer:

2513 miles

Explanation:

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

Here given:

∅ = 36°

radius = 4000 miles

Insert following:

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

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

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

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