Write a hypothesis for this: what is the relationship between the angle of incidence and the area illuminated by the sun

Hypothesis

The hypothesis for the relationship between the angle of incidence and the area illuminated by the sun can be formulated as follows:

As the angle of incidence of sunlight decreases (i.e., becomes more acute), the area illuminated by the sun will increase. Conversely, as the angle of incidence increases (i.e., becomes more obtuse), the area illuminated by the sun will decrease. This relationship is based on the principle that sunlight striking the surface at a steeper angle spreads over a smaller area, while sunlight striking at a shallower angle spreads over a larger area. Thus, we can anticipate that there is an inverse relationship between the angle of incidence and the area illuminated by sunlight.

This hypothesis can be tested by measuring the illuminated area on a flat surface at various angles of sunlight incidence, allowing for analysis of how changes in angle affect the distribution of light.