Question

On the eayth, 19° of latitudo is how many kilometers? how many miles? (Assume that the radius of the earth is 6400 km, or 4000 mi, approximately) On earth 19° of latitude is approkimately equal to kilometers. (Type an ineger or docimal rounded to one docimal place as neoded)

Answer 1

On Earth, 19° of latitude is approximately equal to 35.56π kilometers or 22.05π miles.

Step-by-step explanation:

On Earth, latitude is measured in degrees, with the equator being 0° and the poles being 90° north and south. To determine how many kilometers are in 19° of latitude, we can use the formula for the circumference of a circle: C = 2πr. The radius of the Earth is approximately 6400 km, so the circumference is 2π(6400) = 12800π km. To find the length of 19° of latitude, we divide the circumference by 360 (the total number of degrees): 12800π / 360 = 35.56π km. In miles, 1 km is equal to 0.62 miles, so we can multiply the length in kilometers by 0.62 to find the equivalent in miles: 35.56π * 0.62 = 22.05π miles.