1. Lesson 1

1.6. Explore 2

Mathematics 20-3 Module 4

Module 4: The Right Kind Of Triangles

 

Self-Check 1

 

This is a photo of a rider on a zip line.

Digital Vision/Thinkstock

  1. One of the ziplines at Calgary’s Canada Olympic Park is 500 m in length and has a vertical drop of 100 m. Riders can reach speeds of 140 km/h.

    1. Draw a diagram that describes the zipline. Make sure to include all know dimensions. Answer

    2. What horizontal distance do riders travel? Provide your answer to the nearest 10 m. Answer

    3. What is the slope of the zipline? Answer

  2. The foot of a 51-ft grain auger is positioned 40 ft from a grain bin. How high is the top of the auger above the ground? Round your answer to the nearest foot. Answer
This is a photo of a grain auger by a grain bin.

© Westfield. Reproduced with permission.

 

 

Self-Check questions 1 and 2 involved the application of the Pythagorean theorem in two dimensions. Identifying Right-Angled Triangles in Real Life extends the theorem into three dimensions. As you watch the slideshow, note which scenarios are represented by right triangles in two dimensions and those that are in three dimensions.

 

This is a play button that opens a slideshow on Right-Angled Triangles.

iStockphoto/Thinkstock

 

Share 3

 

Discuss the following questions, based on Identifying Right-Angled Triangles in Real Life, with a partner or with a group of people.

  • How many scenarios in the slideshow were represented by right triangles in three dimensions?

  • What information would you use to explain or decide that a scenario must be represented by triangles in three dimensions instead of two dimensions?

Discuss any differences you may have and come to an agreement. Watch the slideshow again if necessary.

 

course folder Save a copy of the answers to your course folder.