Bearings and Trigonometry problem

Question

A ship starts at A and travels 20km due east to point b.  It then sails to C which is 10km from B on a bearing of 125 degrees.  What is the distance and bearing of C from A?

Answer 1

I just did the problem and it did not get posted. What's wrong here ??

draw a diagram

the bearing is always clockwise from the north (vertical) line

connect A and C

AB is horizontal and BC is diagonal at 125º from the vertical

that makes angle ABC 55+90=145º

use the law of cosines

AC²=20²+10²-2(20)(10)cos145º

AC²=400+100-400(-0.81915)

AC²=500+327.66

AC²=827.66

AC=√827.66

AC=28.769 km and when rounded off becomes 28.8 km

Answer 2

Draw and label of diagram!!!!

∠ABC = 55°

Use Law of Cosines to determine AC.