Lesson 3

Discover

 

In this section you will make and use a clinometer. A clinometer can be used to measure angles of elevation and depression. If you happen to have a clinometer from a previous mathematics course, feel free to use it.

 

Try This 1

 

Work with a partner or with a group to complete this activity. You will need the following materials:

• stiff paper or cardboard the size of printer paper
• scissors
• tape
• glue stick
• drinking straw
• a weight (such as a bolt or large washer)
• 30 cm of strong thread or fishing line
• tape measure

Follow Steps 1 through 5 in the instructions from Lesson 1 of Mathematics 10-3: Module 7 to create your clinometer.

 

 

Now, use your clinometer to determine the height of a tall object, such as a tree or a flag pole.

 

Step 6: Select a tall object standing on level ground.

 

Step 7: Choose a convenient spot on the ground near the tall object. Make sure that this spot is level with the base of the object you chose. Measure the distance from this spot to the object using a tape measure.

 

Step 8: With the help of a partner, use your clinometer to measure the angle of elevation to the object's top from this position.

 

Step 9: Measure the height of your eye where you took the measurement.

 

Step 10: Sketch and record your measurements on a diagram similar to the following.

 

 

Now, answer the following questions:

1. What object did you choose?
   
   
2. Substitute your measurements into the formula to determine how high the top of the object is above eye level.
   
   
3. Determine the total height of the object.
   
   
4. Did you round your answer? If so, why?

Save your responses in your course folder.