1. Module 7

1.28. Page 6

Mathematics 10-3 Module 7 Lesson 5

Module 7: Trigonometry

 

Lesson 5 Summary

 

This is a sketch of a skeleton track.

 

The skeleton track built for the Vancouver 2010 Winter Olympics is 1450 m in length, and the steepest section is at corner 2. This corner has a 20% grade—this means the angle of elevation for the track is 11.3°. Now that you have an understanding of trigonometry, you could have calculated this angle by measuring the height of the track and the distance along the ground. The engineers who built and designed this track would have to make sure their trigonometry skills were sharp!

 

In this lesson, you explored these questions:

  • What is the cosine ratio?

  • How is the cosine 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 5 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 5 Assignment. If you experience difficulty, contact your teacher before starting the Lesson 5 Assignment.

 

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

 

m10_3_assign.jpg Assignment

 

Retrieve the Lesson 5 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.