A fountain of water is located at the center of a circular pool. Not wishing to get his feet wet, a student walks around the pool and measures its circumference to be 16.5 m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation at the bottom of the fountain to be 55.0°. How high is the fountain?

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Vector A, vector B, and vector C are drawn to scale in the figure below. The vector Ais 5.3 meters long and points 56 degrees counterclockwise from the positive x-axis. The vector B is 4.0 meters long and points along the negative x-axis. The vector C is 2.8 meters long and points 53 degrees clockwise from the negative x-axis. 1. What are Ax and Ay, the x and y components of vector A? 2. What are Cx and Ay, the x and y components of vector C? 3. What are Rx and Ry, the x and y components of the resultant vector R =A +B+C?

Vector Ä has a magnitude of 10 units and a direction angle of 14° measured counterclockwise from the positive r-axis. Vector B has the same r-component as Ä, but its y-component is 3 times larger. What is the magnitude and direction angle of vector B?