Comparing the accuracy of trigonometry methods versus direct measures for distance estimation
DOI:
https://doi.org/10.64171/JAES.6.4.22-25Keywords:
Trigonometry, Direct measurement, Distance estimation, Percentage error, SurveyingAbstract
This study investigates the accuracy of trigonometric methods compared to direct measurement in estimating distances. Measuring distance is essential in mathematics, engineering, surveying, and construction, where precision ensures successful outcomes. Direct measurement using tools such as measuring tapes provides actual values but can be impractical in certain contexts. Trigonometry, particularly through the tangent function, offers an alternative by estimating distances using angles of elevation and object heights. The researchers conducted trials in a controlled campus setting, measuring distances from fixed objects using both methods. Data were analyzed by computing percentage errors to determine reliability. Results revealed that trigonometric methods can approximate distances effectively, but small errors in angle measurement significantly affect accuracy. Direct measurement consistently produced lower percentage errors, making it more reliable. The study concludes that trigonometry is useful when direct measurement is not feasible, but precision remains higher with direct tools.
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Copyright (c) 2026 Mark Ren D. Villaflor, Rhian Margarette C. Pineda, Erries L. Villena, Loel P. Cunanan, Titin Rahmiatin Rahim, Usman
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