Results 1 to 2 of 2

Math Help - Great Circles.

  1. #1
    Newbie
    Joined
    Sep 2007
    Posts
    11

    Exclamation Great Circles.

    Great Circles!

    Use the points:

    C
    ( 40 N , 70 W )
    D ( 40 N , 150 W )E( 70 N , 150 W ) F ( 70 N , 70 W )

    to find the distance from C to E along a great circle.

    ( Hint: You will need to find the lengths of the Trapezium CDEF)

    Any Contribution and Help will be Appreciated.

    Thanks!!!


    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by Pandp77 View Post
    Great Circles![LEFT]
    Use the points:

    C
    ( 40 N , 70 W )
    D ( 40 N , 150 W )E( 70 N , 150 W ) F ( 70 N , 70 W )

    [COLOR=Blue][SIZE=5][FONT=Trebuchet MS]to find the distance from C to E along a great circle.

    [I][COLOR=Black]( Hint: You will need to find the lengths of the Trapezium CDEF)

    Any Contribution and Help will be Appreciated.

    Thanks!!!
    Let P denote the north pole then you can use the triangle CPE to calculate the distance CE. Use the Cosine rule of a spheric triangle: (d is the angle corresponding to the distance between C and E)

    \cos(d)=\sin(70^\circ) \sin(150^\circ) + \cos(70^\circ) \cos(150^\circ) \cos(70^\circ - 40^\circ)\approx 0.21333...

    which will yield d \approx 77.68^\circ
    Last edited by earboth; May 22nd 2008 at 11:29 PM. Reason: removed a typo
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Prove that every rigid motion transforms circles into circles
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: February 11th 2010, 07:00 PM
  2. Replies: 2
    Last Post: October 6th 2009, 09:04 AM
  3. great probelm
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: January 9th 2009, 01:19 PM
  4. Great Circles
    Posted in the Geometry Forum
    Replies: 1
    Last Post: May 20th 2008, 09:34 AM
  5. [SOLVED] any help would be great
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: August 9th 2006, 08:30 AM

Search Tags


/mathhelpforum @mathhelpforum