In soccer, a defending goalkeeper wants to take up a position which bisects the angle that needs to be covered. See the figure. The keeper stands square to the ball—that is, perpendicular to the line of bisection—at a point where the area covered (shaded) lies completely outside the goal. How far is the goalkeeper from the center of the goal line if an attacking striker is 24 yards from the near post and 30 yards from the far post?

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1610 24 yd 30 yd 8 yd