Section 1

1. Section 1

1.28. Explore 2

Mathematics 20-3 Module 3

Section 1: Slope—Physical Objects

 

Self-Check 1

 


textbook

Read question 2 on page 20 of Mathworks 11, and answer the following questions.

  1. What is the standard number of inches of run used to calculate the slope of a roof? Answer

  2. Express the slope of a 6:12 roof in fraction form as . Answer

  3. Calculate the pitch of the three roofs from question 2 on page 20 of the textbook, and write each pitch in ratio form. hint Answer

  4. Which of the three roofs in question 3 is the steepest? Why? Answer

  5. What implications for safety are there with roof c in comparison to the other roofs? Answer

  6. Answer the following.

    1. What other word is used instead of slope when dealing with roofs? Answer

    2. The slope is expressed as a ratio of 6:12. How is this slope different from a slope of 12:6? Answer

    3. Which roof in the previous question is steeper? Explain. Answer

Roofs and water slides are not the only objects where safety and functionality are related directly to slope. Examine the following photos of road signs providing information to drivers about the steepness of the road ahead. Why are these signs necessary? What purpose do they serve?

 

These three photos are of road grade signs. One sign notes eight percent, one indicates truckers should use low gear, and another sign notes a runaway ramp.

8% sign: iStockphoto/Thinkstock; runaway ramp: iStockphoto/Thinkstock; low gear: Hemera/Thinkstock

 

Keep in mind that pitch always refers to the rise in a 12-in run.