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Showing posts with label mathematics-tangent. Show all posts
Showing posts with label mathematics-tangent. Show all posts

27 May 2011

WoW Mathematics: Heavy Breathing

When Valiona breathes fire, she breathes lots of it. Not only does it reach the very edges of the room she is in, it also has a 180° angular spread.

Given that most fires tend to be bad, it is usually prudent to run out of it. There are, of course, a multitude of possible directions to run, which leave the player roasting for different amounts of time. Which path is the quickest?

Summary:
  • The quickest path out of Devouring Flames is a straight line perpendicular (at right angles) to the boundary of the cone.
  • If Valiona is facing the player, the quickest path out is through Valiona.
  • Given a Cartesian coordinate system, the starting position (x1,y1) and the equation of the boundary ax + by + c = 0 ,the distance d to run is: