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

Answer:

The answer is "2793 miles"

Step-by-step explanation:

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

$\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}$

       $=\frac{ 2\pi }{9}$

Now calculating the distance:

$=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}$

$=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles$