Given an angle in standard position, what is the measure of the angle of elevation from point l to point j if the correct value is ?
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
Which of the following angles in standard position has a positive measure?
A
B
C
D
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Verified step by step guidance1
Recall that an angle in standard position is measured starting from the positive x-axis, moving counterclockwise for positive angles and clockwise for negative angles.
Identify the sign of each given angle: negative angles (like -120° and -60°) indicate clockwise rotation, so these are negative measures.
Positive angles are those measured counterclockwise from the positive x-axis, so any angle greater than 0° is positive.
Among the given options, 45° and 0° are non-negative, but 0° is neither positive nor negative; it is the starting point.
Therefore, the angle with a positive measure is the one greater than 0°, which is 45°.
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