Multiple Choice
In the context of angles in standard position, the term
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1. Measuring Angles
Angles in Standard Position
0:49 minutesProblem 2.5.5
Textbook Question
CONCEPT PREVIEW Match the measure of bearing in Column I with the appropriate graph in Column II.
I. N 70° W
II. 1. A. B. C. 2. 3. 4. D. E. F. 5. N 70° W 6. 7. G. H. 8. 9. 10. I. J.
Verified step by step guidance1
Understand that a bearing is a direction measured clockwise from the north line. For example, a bearing of N 70° W means starting from north, rotate 70° towards the west.
Convert the given bearing into a standard angle measured counterclockwise from the positive x-axis (east direction) if needed, or visualize it on a compass rose to match with the graphs.
For each bearing in Column I, identify the quadrant or direction it points to by interpreting the notation (e.g., N 70° W lies in the northwest quadrant).
Examine each graph in Column II and determine which direction or angle it represents, comparing it with the bearing's direction from Column I.
Match each bearing from Column I with the graph in Column II that correctly represents the same direction, ensuring the angle and quadrant correspond.
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Video duration:
49sKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Understanding Bearings
Bearings are a way to describe direction using degrees measured clockwise from the north. A bearing like N 70° W means starting at north, rotate 70 degrees towards the west. This system helps in navigation and mapping by providing precise directional information.
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Example 2
Interpreting Directional Notation
Directional notation such as N 70° W combines cardinal points with angles to specify a direction. It indicates the angle from the north towards the west, rather than from the east or south, which is crucial for correctly matching bearings to their graphical representations.
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Graphical Representation of Bearings
Graphs or diagrams representing bearings show directions as angles from the north line, often with arrows or lines. Understanding how to translate a bearing into a visual angle on a graph is essential for matching given bearings to their correct graphical depiction.
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