Knowing the Bounding box corner points (circled in red) and the rotation angle, is it possible to find the other point coordinates circled in blue?
I assume there is a tilted rectangle in the figure. If so, then the answer is to your question is yes, it is possible.
I assume you want to know how?
(You should write more specifically.)
Here is one way. Refer to my attachment.
L and H are known, from the coordinates circled in red.
We have similar triangles.
Also,
Substitute
We know that
We can now solve for (discard the value ). From this we can obtain the values of all variables.
When L = 7.5 and H = 8.5, I get .