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 45m
- 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
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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