O ensino das razões trigonométricas por meio do teodolito caseiro

Abstract

This research aimed to present some concepts and applications of trigonometric ratios in the homemade theodolite, an instrument used to measure angles in topographic and geodetic applications. The research was conducted at the Macapá campus of the Federal Institute of Education, Science, and Technology of Amapá, with the implementation of the project in the 2nd year class of high school, enrolled in the integrated technical course in Building Construction. The methodology involved explaining the definitions of sine, cosine, and tangent, expressed in terms of the measures of the sides of a right triangle and its internal angles. In addition, various practical applications of trigonometric ratios were presented, such as calculating terrain slope, measuring distances between points, and determining azimuths. The importance of understanding these ratios and their applications for the correct use of the homemade theodolite was emphasized, aiming at obtaining precise results in topographic measurements and calculations. The main objective was to verify if knowledge of the fundamental concepts of trigonometric ratios is valuable for the theoretical foundation on the subject and its practical application in various areas. The use of trigonometric ratios was indispensable in topographic calculations, providing precision in determining angles in various applications. These ratios simplify trigonometric analysis, establishing a solid foundation for reliable results in areas such as civil engineering, highlighting their indispensability in trigonometric practice.