
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 20th, 2007, 12:23 PM  #1 
Member Joined: Oct 2007 Posts: 31 Thanks: 0  Finding the distance between two points on a sphere
I can't figure the following question out and need to know how it's done: Find the distance between the two cities. Assume the Earth is a sphere of radius 4000 miles and that the cities are on the same meridian. (one city is due north of the other) Dallas  32° 47' 9" N Omaha  41° 15' 42"N Thanks for any help given. 
November 20th, 2007, 12:30 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
So you have the two cities on a circle, with the arc connecting them being 8.5 or so degrees. So given the radius you can find the circumference, right? Then find the appropriate fraction of that circumference, given that there are 360 degrees in total.

November 20th, 2007, 12:37 PM  #3  
Member Joined: Oct 2007 Posts: 31 Thanks: 0  Quote:
 
November 20th, 2007, 01:24 PM  #4  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Quote:
 
November 7th, 2018, 10:10 PM  #5 
Global Moderator Joined: Dec 2006 Posts: 20,757 Thanks: 2138 
41° 15' 42"  32° 47' 9" = 8° 28' 33" = 8.4758333° approximately. Hence required distance is 2ππ × 4000 miles × 8.475833333 / 360 = 591.7248 miles approximately. This assumes that the distance is measured along the meridian. 

Tags 
distance, finding, points, sphere 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
the total number of points in ndimensional sphere  Business Man  Algebra  7  October 24th, 2013 06:19 PM 
Finding The Shortest Distance Between Two Points...  soulrain  Calculus  4  June 24th, 2012 12:55 PM 
Mathematica : random points on the unit sphere  Cham  Computer Science  0  September 20th, 2011 05:05 AM 
Finding the distances between 2 points sphere.  sameapple  Algebra  4  September 14th, 2009 11:58 AM 
sphere enclosing a set of points  Philipe  Algebra  3  June 10th, 2009 12:08 PM 