Geometry 8-4a GeoGebra Primer: Angles of Elevation and Depression
By Matt Richardson
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Last updated about 3 years ago
6 Questions
Complete the activity in the embedded GeoGebra applet. Follow the instructions and use the red slider to progress through each of the four tasks before responding to the items that follow.
10 points
10
Question 1
1.
Vocabulary: In the introduction (Activity 1) of the applet, you saw an angle of elevation. In your own words, what is an angle of elevation?
Vocabulary: In the introduction (Activity 1) of the applet, you saw an angle of elevation. In your own words, what is an angle of elevation?
10 points
10
Question 2
2.
Vocabulary: In the extension (Activity 2), you saw an angle of depression. In your own words, what is an angle of depression?
Vocabulary: In the extension (Activity 2), you saw an angle of depression. In your own words, what is an angle of depression?
10 points
10
Question 3
3.
Exploration: In the extension (Activity 2), an angle of elevation and an angle of depression are shown simultaneously based on two perspectives. What is the relationship between these two angles? How do you know?
Exploration: In the extension (Activity 2), an angle of elevation and an angle of depression are shown simultaneously based on two perspectives. What is the relationship between these two angles? How do you know?
10 points
10
Question 4
4.
Exploration: In the application (Activity 3), what information is provided when you click the box next to Some information?
Exploration: In the application (Activity 3), what information is provided when you click the box next to Some information?
10 points
10
Question 5
5.
Exploration: In the application (Activity 3), how can you use the information provided when you click the box next to Some information along with the angle measurements shown in the diagram to find the current height of the elevator? Be specific.
Exploration: In the application (Activity 3), how can you use the information provided when you click the box next to Some information along with the angle measurements shown in the diagram to find the current height of the elevator? Be specific.
100 points
100
Question 6
6.
Extension: Create a real-world angle of elevation or angle of depression word problem based on the image on the canvas. Provide enough information to solve for an unknown quantity using angles and trigonometry. Label the given quantities on the image.
Extension: Create a real-world angle of elevation or angle of depression word problem based on the image on the canvas. Provide enough information to solve for an unknown quantity using angles and trigonometry. Label the given quantities on the image.