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Math Help - Find the End point

  1. #1
    Newbie
    Joined
    Oct 2008
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    1

    Find the End point

    Hey all,

    I've got a question which I'm hoping someone can answer for Me.

    if I have the x/y coordinates of the start point of a line (i.e. 0,0),
    the angle of the line (i.e. 45 degrees),
    and the length of the line (i.e. 10);
    how do I calculate the end point of the line?

    I'm sure its a pretty basic problem, I just don't have a clue how to go about it.

    Sincerely Chryso,
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  2. #2
    MHF Contributor
    Joined
    Apr 2008
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    1,092
    In general, if r is the distance from the origin, and \theta is the angle from the positive x-axis, then the endpoint is (r \cos \theta, r \sin \theta).
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  3. #3
    Junior Member
    Joined
    Oct 2008
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    61
    Draw a right triangle and use for example the sine rule.
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  4. #4
    Junior Member
    Joined
    Oct 2008
    Posts
    35
    Tan of the angle gives the slope,m

    call known point (x1,y1) unknown point is (x,y)

    Then slope = rise/run=m = (y1-y)/(x1-x)= m

    also length,l is given by sqr root of [(x1-x)^2+(y2-y)^2]=l

    you now have a set of simultaneous equations
    solve between them
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