A 75 g, 37 cm-long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 15 g ball of clay traveling horizontally at 2.7 m/s hits and sticks to the very bottom tip of the rod. To what maximum angle, measured from vertical, does the rod (with the attached ball of clay) rotate?

Express your answer in degrees. =? Hint: Find the initial angular momentum about the axle. Use the equation for conservation of angular momentum to find the angular velocity of the system right after the collision. Apply the law of conservation of energy to the rotational motion. Also, round the answer in two significant figures in the last step.