Final answer:
The question expects a geometric or trigonometric explanation of the relationship between altitudes BX and EY, but the provided fragments pertain to physics concepts like vector components and kinematics. Without additional geometric context, it's impossible to determine the relationship between these altitudes.
Step-by-step explanation:
The provided information appears to pertain to physics, particularly vector analysis and kinematics, rather than a direct relationship between geometrical altitudes. To ascertain the relationship between corresponding altitudes BX and EY, it would typically be necessary to have a context within geometry or trigonometry, such as a triangle where these are altitudes from corresponding vertices.
However, the given fragments discuss components of vectors, kinematics equations, electric field vectors, and trajectory problems, which do not allow a clear or direct determination of a relationship between two altitudes without further geometric or triangles-specific context.
Therefore, without additional information about the geometric conditions or properties of the shapes involved, it is impossible to determine or explain the relationship between altitudes BX and EY. It is worth noting that if BX and EY were altitudes of similar triangles, or triangles in a specific ratio due to scaling, there would be a proportional relationship between them based on the properties of similar triangles.