A procedure for determining a quantity without directly measuring it with a measuring instrument constitutes an important aspect of measurement science. Instead of directly observing the target quantity, related quantities are measured, and the desired value is then derived through calculation using a pre-established relationship, formula, or model. A common illustration involves determining the height of a tall tree. Rather than attempting to physically measure the tree’s height, one could measure the length of its shadow and the angle of elevation of the sun. Applying trigonometric principles allows the height to be calculated based on these indirectly obtained measurements.
Employing such techniques proves advantageous in various scenarios. It enables the determination of values that are physically inaccessible, too large, too small, or too dangerous to measure directly. Its utilization is paramount in fields such as astronomy (measuring distances to stars), surveying (determining land elevations), and engineering (assessing structural strain). This approach expands the scope of measurable phenomena and enhances the efficiency and safety of measurement processes. Historically, the development of mathematical models and instruments capable of indirect assessment has significantly contributed to scientific advancement.
