Multiple Choice
Which angle is NOT a positive angle drawn in standard position?
12. Trigonometric Functions
Angles
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What is the approximate measure of the angle shown below? Choose the most reasonable answer.
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Verified step by step guidance1
Step 1: Observe the diagram provided. The angle θ is measured counterclockwise from the positive x-axis to the orange arrow, which lies in the fourth quadrant.
Step 2: Recall that angles in standard position are measured counterclockwise starting from the positive x-axis. Angles in the fourth quadrant are between 270° and 360°.
Step 3: Estimate the angle based on the position of the orange arrow. The arrow is closer to the negative y-axis (270°) than to the positive x-axis (360°). This suggests the angle is slightly greater than 270°.
Step 4: Compare the given options (60°, 150°, 240°, 300°). The most reasonable answer is 300°, as it falls within the fourth quadrant and matches the approximate position of the arrow.
Step 5: Conclude that the approximate measure of the angle θ is 300° based on the quadrant and the arrow's orientation.
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