Question

Find the distance between the cities. Assume that Earth is a sphere of radius 4000 miles and that the cities are on the same longitude (one city is due north of the other). (Use the forμla for arc length. Round your answer to the nearest mile.)

a) 440 miles
b) 721 miles
c) 878 miles
d) 964 miles

Answer 1

To find the distance between the cities, we can use the formula for arc length on a sphere. The distance is 360,000 miles.

Step-by-step explanation:

To find the distance between the cities, we can use the formula for arc length on a sphere. The formula is given by:

Distance = radius x angle

In this case, the angle is 90° as one city is due north of the other. The radius is 4000 miles.

Therefore, Distance = 4000 miles x 90° = 360,000 miles.

Rounded to the nearest mile, the distance between the cities is 360,000 miles.