An electronic distance measurement device (EDM) is to be used to lay out a canoe race cour...

An electronic distance measurement device (EDM) is to be used to lay out a canoe race course on a lake. Buoys B and C have been placed. The EDM is set up at point A as shown. AB is 175.83 m and AC is 287.21 m. The angle at A is 42°37′20″.

(a) Find the length CB.

(b) Keeping the angle at A and the line AB unchanged, find the required length of AC (to 0.01 m) so that BC is 200.00 m.

Problem