Final answer:
The question is about surveying methods, with a focus on measuring elevations and angles, where trigonometry is applied. The terminologies of 'graduated technique' and elevation angles refer to surveying practices using instruments like a theodolite. The precise equation for calculating velocity of a falling object is not provided in the question.
Step-by-step explanation:
The question appears to be related to surveying techniques, specifically the use of angles in determining elevations with instruments like a theodolite. In surveying, a graduated technique might refer to a method of measuring elevations or angles with a graduated scale. Elevations are generally measured vertically (either upward or downward in the coordinate system), and are related to angles in the vertical plane. To measure angles of elevation effectively, one uses instruments like a theodolite, which can provide precise angular measurements in both vertical (elevation angle) and horizontal (azimuth angle) planes. Trigonometry is often applied when analyzing these measurements to determine positions, heights, and other spatial characteristics.
Based on the context provided, none of the answer choices listed in the original question appear to directly match the typical surveying terminology or practice, which involves measuring elevation angles from -90° (nadir) to +90° (zenith).
When considering the final part of the question about velocities of a falling object, the appropriate equation that encapsulates the physics of free-fall motion, kinetic energy, or similar principles, should be used. Typically, an equation from classical mechanics involving initial height, acceleration due to gravity, and time or distance of fall would be employed to find the velocity upon impact. However, such an equation is not provided in the context.