You've Got Triangles!
The sides of a triangle.Copyright 2006, Tarquin, Wikimedia Commons http://en.wikipedia.org/wiki/File:Trigonometry_triangle.svg
Students learn about trigonometry, geometry and measurements while participating in a hands-on interaction with LEGO® MINDSTORMS® EV3 technology. First they review fundamental geometrical and trigonometric concepts. Then, they estimate the height of various objects by using simple trigonometry. Students measure the height of the objects using the LEGO robot kit, giving them an opportunity to see how sensors and technology can be used to measure things on a larger scale. Students discover that they can use this method to estimate the height of buildings, trees or other tall objects. Finally, students synthesize their knowledge by applying it to solve similar problems. By activity end, students have a better grasp of trigonometry and its everyday applications.
Many engineers use trigonometry and geometry in their work, designing structures and objects that function well together. For example, mechanical engineers use triangles in some parts of car designs to produce frames that are lightweight and strong. Civil engineers design buildings and bridges using basic shapes such as triangles and squares. When designing these objects and structures, engineers must provide precise measurements to make sure everything fits together. Often, they double check their designs by making estimates to verify that the calculations are reasonable. In addition, civil engineers sometimes perform surveying on construction sites to determine property lines on land. To do this, they use the principles of trigonometry and geometry to measure or estimate the dimensions of objects on the site. When surveying land, engineers apply the principles of geometry, since they cannot measure several miles directly with a ruler or tape measure! This activity helps students see the power of trigonometry to make useful estimates in everyday life, and exposes them to some modern technologies that engineers use to make measurements.
After this activity, students should be able to:
- Define a right triangle.
- Measure distances by using a ruler, yardstick or ultrasonic sensor.
- Measure angles and estimate angles using a protractor.
- Estimate the height of various objects by creating a 45° right triangle with a known base.