PLEASE HELP! WILL MARK BRAINLIEST IF CORRECT! 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 first find 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 find that CA = 259 m, CB = 423 m, and angle ACB measures 132 degrees
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?