Using gage blocks and a sine plate primarily facilitates the measurement of what?

Using gage blocks and a sine plate primarily facilitates the measurement of angles. Gage blocks are precision ground blocks used as a standard for length, and when combined with a sine plate, they enable the measurement of angles by creating specific heights that correspond to a sine function. This allows for the precise determination of angles in a setup, as the sine plate is typically adjusted to a known height that corresponds to the desired angle.

Unlike measurements of length, weight, or volume, which are addressed through other tools and methods, the sine plate's design specifically lends itself to angular adjustments. By stacking gage blocks to achieve a desired elevation, the technician can effectively create a setup for measuring various angles accurately, relying on the relationship dictated by trigonometric functions, especially sine.