A ball is thrown from the edge of a cliff \(50\: m\) high, at an angle of \(30^\circ\) upward from the horizontal and at a speed of \(10\text{ m/s}\). Refer to (2) in the figure. Neglecting air friction and other external factors, determine the length \(A\) of the path traveled by the ball (depicted in blue dashed lines). Express your answer as \( \lfloor A \rfloor \).

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