Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles39m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Problem 10a
Textbook Question
CONCEPT PREVIEW Match the measure of bearing in Column I with the appropriate graph in Column II. I. II. 1. A. B. C. 2. 3. 4. D. E. F. 5. 6. 7. G. H. 8. 9. 10. N 70° E I. J.
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1
Understand that a bearing is a direction or path along which something moves or along which it lies. Bearings are typically measured in degrees from the north direction.
Recognize that the notation 'N 70° E' means starting from the north direction, rotate 70 degrees towards the east.
Visualize or sketch a compass rose with North at the top, East to the right, South at the bottom, and West to the left.
From the North direction, measure 70 degrees clockwise towards the East direction.
Match this visual representation with the appropriate graph in Column II that shows a line or arrow pointing in the direction of N 70° E.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Bearing
Bearing is a way of describing direction in navigation and geometry, typically expressed in degrees. It is measured clockwise from the north direction, with angles ranging from 0° to 360°. For example, a bearing of N 70° E indicates a direction that is 70 degrees east of due north.
Graphical Representation of Bearings
Graphical representation of bearings involves plotting directions on a coordinate system or compass rose. Each bearing corresponds to a specific angle, which can be visualized as a line emanating from a point (usually the origin) at the specified angle. Understanding how to interpret these graphs is crucial for matching bearings to their correct visual representations.
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Compass Rose
A compass rose is a figure on a map or chart used to display the orientation of the cardinal directions (North, East, South, West) and their intermediate points. It serves as a reference for understanding bearings and directions. Familiarity with the compass rose is essential for accurately interpreting and matching bearings to their graphical representations.
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