Jeanette is playing in a ball pool tournament. She will win if she sinks the 9-ball from the final …

Jeanette is playing in a ball pool tournament. She will win if she sinks the 9-ball from the final rack, so she needs to line up her shot precisely. Both the cue ball and the 9-ball have mass m, and the cue ball is hit at an initial speed of Ui. Jeanette carefully hits the cue ball into the 9-ball off-center, so that when the balls collide, they move away from each other at the same angle from the direction which the cue ball was originally traveling (see figure). Furthermore, after the collision, the cue ball moves away at speed Uf, while the 9-ball moves at speed vg. (Figure 1) Part A Find the angle that the 9-ball travels away from the horizontal, as shown in the figure. Express your answer in degrees to three significant figures.

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