Results 1 to 6 of 6

Math Help - Confusing problem ELPP again

  1. #1
    Senior Member
    Joined
    Jul 2006
    From
    Shabu City
    Posts
    381

    Confusing problem ELPP again

    A reconnaissance airplane leaves its airport on the east coast of the United States and flies in a direction of 85 degrees. Because of bad weather it returns to another airport 230km to the north of its home base. For the return it flies in a direction of 283 degrees. What is the total distance flown?

    I dont know the diagram ... & i dunt undersand T_T
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Quick's Avatar
    Joined
    May 2006
    From
    New England
    Posts
    1,024
    Quote Originally Posted by ^_^Engineer_Adam^_^
    Because of bad weather it returns to another airport 230km to the north of its home base. For the return it flies in a direction of 283 degrees. What is the total
    I understand the question until this part...
    The other airport must not be directly north of the home base...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,682
    Thanks
    614
    Hello, ^_^Engineer_Adam^_^!

    Sorry, I don't understand the problem . . . are there typos?


    A reconnaissance airplane leaves its airport and flies in a direction of 85.
    Because of bad weather, it returns to another airport 230km to the north of its home base.
    For the return, it flies in a direction of 283 degrees.
    What is the total distance flown?

    I assume that a direction of 85 is a bearing, measured CW from North.

    So the plane flies from A to B.
    Code:
          :
          :
          :                 o B
          :           *
          : 85 *
        A o

    Then it flies to airport C, 230 km to the north of A (but not directly north).
    Code:
                    C
                    o
                   *  *
                  *    *
                 *      *
            230 *        *
               *          *
              *            *
             *              o B
            *         *
           *    *
        A o

    The return is CA . . . in a southwesterly direction.

    But we are told that the return is at a heading of 285,
    . . which is to the northwest . . . ??

    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,829
    Thanks
    123
    Quote Originally Posted by ^_^Engineer_Adam^_^
    A reconnaissance airplane leaves its airport on the east coast of the United States and flies in a direction of 85 degrees. Because of bad weather it returns to another airport 230km to the north of its home base. For the return it flies in a direction of 283 degrees. What is the total distance flown?

    I dont know the diagram ... & i dunt undersand T_T
    Hello,

    I've attached a diagram to show you what I've calcualted.

    With your triangle ABC you know the length of AC = 230 km. You can calculate from the given bearings the angles in the triangle: 85, 18 and 77.

    Now use the Sine rule.
    \frac{AB}{230 km}=\frac{\sin(77^\circ)}{\sin(18^\circ)}
    \frac{BC}{230 km}=\frac{\sin(85^\circ)}{\sin(18^\circ)}
    Solve for AB and BC.
    The total length flown by the plane ist AB + BC. I got 1466.7 km.

    Greetings

    EB
    Attached Thumbnails Attached Thumbnails Confusing problem ELPP again-flugzg_umkehr.gif  
    Last edited by earboth; August 8th 2006 at 11:46 AM.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member
    Joined
    Jul 2006
    From
    Shabu City
    Posts
    381
    Thanks!
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by ^_^Engineer_Adam^_^
    Thanks!
    Smiley abuse !
    -=USER WARNED=-
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Confusing problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 18th 2010, 10:06 AM
  2. Confusing SAT problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 1st 2010, 10:02 PM
  3. I need help with one problem! Its very confusing.
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: October 31st 2009, 10:19 AM
  4. Confusing problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 22nd 2008, 08:12 AM
  5. confusing problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 18th 2007, 06:32 PM

Search Tags


/mathhelpforum @mathhelpforum