Question 1109444


the equator is at at latitude 0 degrees.


town A is at latitude 42 degrees north.


town B is at latitude 15 degrees south.


this makes the angle between them equal to 42 + 15 = 57 degrees.


they both have the same longitude because they are directly north or south of each other.


town A is 57 degrees directly north of town B.


town B is 57 degrees directly south of town A.


the radius of the earth is 6400 kilometers.


the circumference of the earth if 2 * pi * 6400 = 40212.38597 kilometers.


the distance between the towns is an arc on the circumference of the earth whose central angle is 57 degrees.


the formula for the length of an arc is equal to central angle of the arc divided by 360 * circumference of the circle.


this makes the distance between the two towns equal to 57/360 * 2 * pi * 6400 which make it equal to 6366.961111 kilometers.


that should be your solution.


here's a reference on latitude and longitude.


<a href = "https://www.geovista.psu.edu/grants/MapStatsKids/MSK_portal/concepts_latlg.html" target= "_blank">https://www.geovista.psu.edu/grants/MapStatsKids/MSK_portal/concepts_latlg.html</a>


here's my diagram of what i think is happening.


<img src = "http://theo.x10hosting.com/2018/021401.jpg" alt="$$$" >