Which of the following angles in standard position has a positive measure?
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 lines is perpendicular to the horizon in standard position?
A
A line with an angle of measured from the positive x-axis
B
A line with an angle of measured from the positive x-axis
C
A line with an angle of measured from the positive x-axis
D
A line with an angle of measured from the positive x-axis
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Verified step by step guidance1
Understand that the horizon in standard position corresponds to the horizontal axis, which is the positive x-axis (0\(\degree\)) and its opposite direction (180\(\degree\)).
Recall that a line perpendicular to the horizon must be vertical, meaning it forms a 90\(\degree\) angle with the positive x-axis.
Identify the angle that represents a vertical line in standard position, which is 90\(\degree\) measured counterclockwise from the positive x-axis.
Compare the given options: 0\(\degree\) and 180\(\degree\) represent horizontal lines, 45\(\degree\) is an inclined line, and 90\(\degree\) is the vertical line perpendicular to the horizon.
Conclude that the line with an angle of 90\(\degree\) measured from the positive x-axis is perpendicular to the horizon.
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