Determining the angle of two rigid bodies after an elastic collision requires understanding the principles outlined in physics textbooks. The discussion emphasizes the need for more information about the collision, including the application of relevant equations and proper diagram annotations. Participants suggest that the horizontal line in the drawing should be tangent to both objects at the point of contact. Additionally, the direction of the impulse of momentum transferred during the collision is questioned, particularly in a frictionless scenario. Overall, a solid grasp of elastic collision concepts and thorough analysis is essential for accurate results.