A student draws an xy-coordinate system on an empty parking lot.

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June 8th, 2024

A student draws an xy-coordinate system on an empty parking lot. From the origin, she walks 14 meters at an angle of 30 degrees measured counterclockwise from the positive x-axis, turns and walks 18 meters at an angle of 60 degrees below the line parallel to the positive x-axis. What must the magnitude and direction of her next displacement be for her net displacement from the origin to be 16 meters at an angle of 50 degrees below the positive x-axis?

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