Q:

Bearings are tricky and I though I had this

Accepted Solution

A:
Answer: 241°Step-by-step explanation:You are given the triangle internal angle (N) at Naples = 46°, and the side opposite a = 765 km. You are given the side b = 515 km, and asked to find an angle related to the internal angle opposite (C).By the law of sines, the internal angle (C) at Canton is ... sin(C)/b = sin(N)/a C = arcsin((b/a)sin(N)) = arcsin(515/765·sin(46°)) ≈ 28.964°The bearing from Elgin to Canton will be 270° less this angle, so is about 241°._____Comment on your answerApparently, you added 29° to 270°, rather than subtracting. Since the direction from Elgin to Canton is south of west, the bearing angle must be between 180° and 270°. Note that a line west from Elgin will be parallel to the line east from Canton, so you can take advantage of alternate interior angles being congruent where the Elgin-Canton line crosses those parallel east-west lines.