Suppose the city A is 41 degree 315 N and the city B is 18 d

Suppose the city A is 41 degree 3\'15\" N and the city B is 18 degree 32\'25\" N. Find the angle between A and B in DMS. Find the distance between A and B to the nearest mile. Radius of Earth is 3960 mi.

Solution

Angle between A and B is 41degree 3\'15\"-18degree32\'25\"= 22 degree 30\'50\"

Distance between the two points

We have to use the following formula

s= r theta

where s is the distance between them, r is the radius   and theta is the angle in radian

theta=22degree 30\'50\"= 22.5139degree =.393 radian

s=3960 *.393=1556mi