Question

Two lookout towers are situated on mountain tops A and B, 4 mi from each other. A helicopter firefighting team is located in a valley at point C, 3 mi from A and 2 mi from B. Using the line between A and B as a reference, a lookout spots a fire at an angle of α = 42° from tower A and β = 81° from tower B. See the figure. At what angle, measured from CB, should the helicopter fly in order to head directly for the fire? (Round your answer to two decimal places.)

Answer 1

Since of course you can't post the picture, this is too messy to figure out without a diagram.
e.g. are A and B at the same elevation?
That would be critical.

I also don't know where to place your 42° and 81° angles

Answer 2

Just noticed that this problem has been posted several times before.

Here is the same problem with just a variation in the angles, done by Steve about a year ago

http://www.jiskha.com/display.cgi?id=1416619227

I am sure you can make the necessary changes.