A 3-kg rock is tied to the end of a string and twirled overhead, 1.9 m above the ground, in a 0.8-m radius, horizontal circle. The string is known to break if its tension reaches a value of 586 N. The rock it rotated faster and faster until the string breaks. How far away from its location when the string breaks will the rock hit the ground? Your answer should be given in meters, to the nearest centimeter.