An engineer would like to model a piece for a factory machine on his computer. As shown

Chapter 13, Problem 15

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An engineer would like to model a piece for a factory machine on his computer. As shown in the figure, the machine consists of a link fixed to a circle at point A. The other end of the link is fixed to a slider at point B. As the circle rotates, point B slides back and forth between the two ends of the slider (C and D). The movement is restricted so that u, the measure of AOD, is in the interval 245 u 45. The motion of point B can be described mathematically by the formula where r is the radius of the circle and l is the length of the link. Both the radius of the circle and the length of the link are 2 inches. a. Find the exact value of CB when: (1) u 5 30 (2) u 5 45. b. Find the exact value(s) of u when CB 5 2 inches. c. Find, to the nearest hundredth of a degree, the value(s) of u when CB 5 1.5 inches.