Concept Check The two methods of expressing bearing can be interpreted using a rectangular coordinate system. Suppose that an observer for a radar station is located at the origin of a coordinate system. Find the bearing of an airplane located at each point. Express the bearing using both methods. (-4, 0)
Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles40m
- 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
- OLD 1. Angles and the Trigonometric Functions Coming soon
- OLD 2. Trigonometric Functions graphs, Inverse Trigonometric Functions Coming soon
- OLD 3. Trigonometric Identities and Equations Coming soon
- OLD 4. Laws of Sines, Cosines and Vectors Coming soon
- OLD 5. Complex Numbers, Polar Coordinates and Parametric Equations Coming soon
- NEW (not used) 7. Laws of Sines, Cosines and Vectors Coming soon
- NEW (not used) 8. Vectors Coming soon
- NEW(not used) 9. Polar equations Coming soon
- NEW (not used) 11. Graphing Complex Numbers Coming soon
1. Measuring Angles
Angles in Standard Position
Multiple Choice
What is the approximate measure of the angle shown below? Choose the most reasonable answer.

A
60°
B
150°
C
240°
D
300°
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Verified step by step guidance1
Observe the diagram: The angle θ is measured from the positive x-axis in the counterclockwise direction, ending in the third quadrant.
Recall that angles in standard position are measured counterclockwise from the positive x-axis. The third quadrant corresponds to angles between 180° and 270°.
Notice the direction of the arrow: It points downward and to the left, indicating the angle is in the third quadrant.
Consider the options given: 60°, 150°, 240°, and 300°. Only 240° falls within the range of the third quadrant (180° to 270°).
Conclude that the most reasonable measure for the angle θ, based on its position in the third quadrant, is approximately 240°.
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