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

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)`