Trigonometry trick

boubi · 2011-05-23T12:44:44

Hi community, i want to find the length in height of a 2D intersection between Circle and Ray , i know how to do it with quadratic equation but i want to find a way of doing it with less operations : So here is the challenge : i have in input parameter the height of the ray and the cosine of angle with horizontal axis let's say cos teta. I post a picture in order to see the problem i wanted to solve, i tried trigonometric identities but i can't figure out with one valid because the ray is offseted by the height...maybe there is no solution, but i don't think so.. Thanx for your help... here is the pic :

Math and Physics Programming

Started by boubi May 17, 2011 07:58 PM

10 comments, last by boubi 12 years, 10 months ago

boubi

100

Author

May 23, 2011 09:39 AM

Fix ! a small error has been done on typo :

For horizontal distance : we need to apply a simple thales formula wich will give you :
(R-x0)*cos teta*0.5