It's been a while since I did any work with planes and I'm having trouble figuring out where to start to find these answers or the best way to explain it. I currently have a line that moves through (0,0,0) and (240,102,65), making a 14° angle between the X,Y plane and the line created between those two points. You can get a better visual representation Here.
Now, my question is this: If I were to extend this line into a plane keeping that 14° constant over the whole plane 1. How would I find the equation of that plane and 2. How would I find the Z values at (0,102,z) and (240,0,z)?
I'm pretty sure with the equation I could solve for z at the specified points, but I'm having trouble figuring out how to extrapolate that line into a plane with an equation. Thank you, any help would be appreciated.