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). (Round your answer to one decimal place.)

City Latitude

Dallas, Texas 32° 47' 39'' N.

Omaha, Nebraska 41° 15' 50'' N.

First thing is to convert each latitude to degrees by dividing minute by 60 and seconds by 3600.

37+47/60+36/3600≈37.7933°

47+37/60+18/3600≈47.6217°

The difference is equal to 9.8284°

Circumference:

2π*4000=25,133 miles

The distance is equal to the degree over 360 multiplied by the circumference.

(9.8284/360) * 25,133=686.1 miles