Concerning the law of sines, I don't understand how to put the information in the problem into sin tan cosine

Question

A fire tower at 295 degrees, B fire tower 255 degrees, 45 miles and 045 degrees from A, both spot the same fire. How far away is the fire from A? from B? The example problem has 180 - (60 + 40) = 80 Then a/sin40 = 60/80 b/sin60 = 60/80 a= 39.2 b=52.8, I can't figure out how they came up with those answers?

Answer 1

can you make doubly sure that you have copied the problem correctly? and post it again if necessary?

Answer 2

The way it's worded, I can't even figure out what the geometry of the thing looks like ☺


Doug