Results 1 to 3 of 3

Math Help - Problem Solving

  1. #1
    Member Mr Rayon's Avatar
    Joined
    Sep 2007
    Posts
    137

    Smile Problem Solving

    Two hikers set out from the same campsite. One walks 7 km in the direction 043 T and the other walks 10 km in the direction 133 T.

    What is the distance between the two hikers?


    And I have drawn a diagram. Any help on the above will be appreciated!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Luckily, the two had walked at an angle of 90degrees relative to each other or this problem would have been unsolveable. (133-43=90)

    So now, thanks to our friend Pythagoras, the problem is quite simple:

    a^2+b^2=c^2

    If you need any more help on this let me know.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Mar 2009
    Posts
    58
    Quote Originally Posted by VonNemo19 View Post
    Luckily, the two had walked at an angle of 90degrees relative to each other or this problem would have been unsolveable. (133-43=90)
    Say what?? You're right in that, since they are moving at right angles relative to each other, the simplest solution is the one you describe. However, it can be solved for any angles.

    So we have two vectors. We can convert them to rectangular coordinates as such:

    x_1 = 7~\cos 43 = 5.119
    y_1 = 7~\sin 43 = 4.774
    x_2 = 10~\cos 133 = -6.820
    y_2 = 10~\sin 133 = 7.314

    So now we have two vectors in rectangular form: <5.119, 4.774> and <-6.820, 7.314>. All we need to do now is find the distance between them:

    d = \sqrt {(5.119 - (-6.820))^2 + (4.774 - 7.314)^2} = 12.21

    This procedure works for any angles. It is in no way unsolvable if the two vectors aren't at right angles to each other.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help solving a problem.
    Posted in the Algebra Forum
    Replies: 0
    Last Post: August 13th 2011, 06:37 AM
  2. Further Problem Solving
    Posted in the Algebra Forum
    Replies: 3
    Last Post: March 18th 2010, 03:42 AM
  3. Problem Solving
    Posted in the Algebra Forum
    Replies: 2
    Last Post: June 19th 2008, 04:56 PM
  4. Need help in solving a problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 18th 2008, 04:02 AM
  5. Problem Solving
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: May 17th 2008, 08:25 AM

Search Tags


/mathhelpforum @mathhelpforum