City A is 300km due east of city B. City C is 200km on a bearing of 123¤ from city B. How far is it from C to A?

Answer 1

171km

Answer 2

123-90 = 33 south of east
law of cosines
b^2 = a^2 + c^2 - 2 a c cos B
b^2 = 200^2 + 300^2 - 2(200*300) cos 33

Answer 3

yes I get 171.346