A canopy for a stationary covering device in accordance with the present invention comprises a cover that has a vertex point. The vertex point can be characterized by a fixed uppermost point or tip, at the highest culminating point of the canopy from which the cover projects. According to the invention, the cover includes unequal extensions from the vertex point. As such, the vertex point comprises an asymmetrically positioned vertex point. More specifically, the canopy of the invention is rotatable around a fixed longitudinal axis that is elevated from the ground. In this way, the canopy provides an adjustable coverage zone for a pre-determined stationary area beneath it when it is either rotated or tilted, and located at a suitable elevated level relative to the ground, from a first canopy position to a second canopy position.