Hello all, I am having trouble with a trig problem, and was hoping I could get some help. Here's an image that should make it easier to understand what I need to do.
I have the coordinates of the three points, A, B, and C for the blue triangle, and as such, I can find the side lengths and inner angles easily using Pythagorean's Theorem and the Law of Cosines. What I need to be able to do is this:
Given a new angle between Pt A and Pt C (where Pt B is the vertex), how much do I need to translate Pt B on the y axis to form this new angle. The new Pt B will have the same x value as the old Pt B, only the y value must change. Another way of looking at it is, what is the length of the Red line in the picture above? I have been racking my brain trying to figure this out, and I am no closer to a solution than I was a day ago. Please help!!
Thank you in advance!