Lesson 10: Solving Right Triangles and Word Problems: Connect

Connect

Math 10C Module 1 Lesson 8

Module 1: Measurement and Its Applications

You have seen that trigonometry can be used to model real-world problems. In fact, the concepts of trigonometry are applicable in the design of new homes, in the reconstruction of traffic accidents, in the use of navigation, and in other areas.

Lesson Assessment

Complete the lesson quiz posted under the Assess tab or by using the Quizzes link under the Activities block. Also ensure your work in your binder (course folder) is complete.

Project Connection: The Staircase NOT ASSIGNED

It is time for you to do another common problem. Of course, it is still a collaborative approach—you can still work together with a partner. Go to the Unit 1 Project and complete the Lesson 8 portion of the project.

Going Beyond

This collage shows an image of a GPS device inside an automobile and an illustration of a GPS mapping navigation system on a touch-screen cellphone.

Did you know that trigonometry is the main math tool behind the technology of GPS (global positioning system)? Your car or your phone may have built-in GPS, so you never need to be lost! So how does GPS work?

GPS measures the satellite signals closest to your location by receiving signals from a minimum of three satellites, which is referred to as triangulation.

GPS locks onto a position and uses trigonometry to calculate its position. This position is measured in latitude and longitude. From that point, as long as the satellite stays locked onto your location, then GPS can provide the speed, the distance, and, most important of all, a map to your destination. Initiate an Internet search for GPS for a much more detailed explanation.

The trigonometry used in GPS systems does go beyond what you have learned in this course. An Internet search for GPS and spherical trigonometry can help you learn more.