3. An Olympic-distance triathlon includes a 1.5 km swim. To determine the swim course of an Olympic-distance triathlon in Shoe Lake, the planners need to rst nd the distance between points A and B on opposite sides of a lake in order to determine where to place the buoys that will mark the swim course. You have been called in to help with determining the distances. From a point C on the shore, you nd that CA = 259 m, CB = 423 m, and angle ACB measures 132. T\\ \\x a. Determine the distance across the lake. b. Is the lake long enough to simply have an \"out-and-back\" swim course for this triathlon (that is: swimming from point A to point B and then back to point A)? If not, what additional distance will need to be set off of the straight-line distance between A and B in order to meet the distance requirements for this triathlon