Results 1 to 4 of 4

Math Help - vector problem

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

    vector problem

    A river flows through the jungle from west to east at a speed of 3 km/h. An explorer wishes to cross the river by boat, and attempts this by travelling at 5 km/h due north. At what bearing should the boat travel so that it arrives at the opposite bank of the river due nort of the starting position?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,626
    Thanks
    429
    Quote Originally Posted by Mr Rayon View Post
    A river flows through the jungle from west to east at a speed of 3 km/h. An explorer wishes to cross the river by boat, and attempts this by travelling at 5 km/h due north. At what bearing should the boat travel so that it arrives at the opposite bank of the river due nort of the starting position?
    make a sketch ...

    \theta = \arcsin\left(\frac{3}{5}\right)

    bearing would be \theta degrees west of north
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member Mr Rayon's Avatar
    Joined
    Sep 2007
    Posts
    137
    How come the 5 is on the diagonal? Shouldn't it be on the vertical line?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,626
    Thanks
    429
    Quote Originally Posted by Mr Rayon View Post
    How come the 5 is on the diagonal? Shouldn't it be on the vertical line?
    the boat travels at 5 km/hr relative to the river.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. vector problem
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: December 10th 2011, 10:17 AM
  2. 3D vector problem
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: May 6th 2011, 08:59 AM
  3. Vector problem
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: May 3rd 2011, 03:39 PM
  4. vector problem
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 9th 2010, 08:34 AM
  5. vector problem sum
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 9th 2009, 08:42 AM

Search Tags


/mathhelpforum @mathhelpforum