Question

New York City is located about 40˚ north of the equator. If Earth's radius is about 4000 miles, approximately how many miles south would a plane need to fly from new York City to reach the equator?

Answer 1

The answer is "2793 miles"

Explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

`\to \theta =(40^(\circ) * \pi )/(180^(\circ))`

`=( 2\pi )/(9)`

Now calculating the distance:

`=(2\pi )/(9) * 4000\\\\= (8000 \pi )/(9)`

`=(8000* 3.14 )/(9)\\\\ = (25120)/(9)\\\\=2793 \ miles`