1. Module 7

1.17. Page 7

Mathematics 10-3 Module 7 Lesson 3

Module 7: Trigonometry

 

Lesson 3 Summary

 

In this photograph two cyclists are competing on a cycling track.

Ryan McVay/Digital Vision/Thinkstock

In the introduction to this lesson, you were asked to think about the mathematics behind a drive in golf. The distance the drive ends up from its intended path is a function of the sine ratio.

 

Did you know that the height of the incline track designed for cycling also depends on the sine of the incline’s angle? The angle is designed to maximize safety while allowing competitors to maintain speed.

 

Regardless of the sport you enjoy, it is impossible to escape the joy of trigonometry!

 

In this lesson you explored these questions.

  • What is the sine ratio?

  • How is the sine ratio used to find unknown sides and angles in right triangles?

Check your level of understanding of the materials covered in this lesson by completing “Lesson 3 Traffic Lights.” If you select an amber or red traffic light in the multimedia piece, you will receive information about additional work you can complete to improve your understanding of the topics. Complete the suggested work before you proceed to the Lesson 3 Assignment. If you experience difficulty, contact your teacher before starting the Lesson 3 Assignment.

 

To answer these questions, you explored the definition of the sine function as the ratio of the side opposite to the hypotenuse for a given acute angle in a right triangle. You used this ratio to find missing sides and missing angles.

 

Assignment

 

Retrieve the Lesson 3 Assignment Booklet you saved in your course folder at the start of this lesson. Complete the Assignment.

 

Resave your Assignment Booklet in your course folder and submit a copy to your teacher for assessment.