Temple Height Triangulation
Designed a simple field-measurement tool and used vector-based analysis to estimate the height of the Provo Temple. The project combined geometry, instrument design, and engineering estimation in a hands-on introductory design setting. It demonstrates practical problem solving with constrained materials and mathematical modeling.
Overview
This was a BYU ME EN 101 design project. The goal was to measure the height of the Provo Temple, including the angel Moroni statue, relative to the west gate.
Our method established a coordinate system with three points: the top of the angel Moroni statue, the west gate of the temple, and a third location approximately 200 feet from the gate. By measuring the angles between vectors from two ground points, we used vector addition in three dimensions to estimate the height.
Timeline
- Duration: February 2024
- Total time: 15 hours
Results
To determine the cosine angles of the vectors, we designed an instrument using two equal-length PVC pipes, a protractor, a small weight, and a compass. The hanging weight ensured alignment relative to the ground, while the protractor and compass captured the needed angle measurements.
General concept and drawing of the designed instrument
Instrument used to measure the angle between the ground plane and the temple
Using a vector-addition approach, we estimated the temple height relative to the west gate at 206 feet. While we did not have the exact reference measurement, that result was reasonably close based on known temple and site dimensions.