Determining the gradient of an inclined plane is fundamental to its design and functionality. The process involves quantifying the vertical change (rise) relative to the horizontal distance (run), expressing this relationship as a ratio or percentage. For example, if a ramp rises 1 foot over a horizontal distance of 12 feet, the slope is 1/12, which can also be represented as an 8.33% grade.
Accurate determination of the incline is crucial for accessibility, safety, and regulatory compliance. Too steep an incline poses a hazard for users of wheelchairs, walkers, or other mobility devices, while insufficient incline may render the ramp unusable. Historically, principles of basic geometry and trigonometry have been applied to calculate and construct these inclined surfaces, with modern building codes often dictating maximum allowable gradients.
