posted by Kendall .
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 = 37° from tower A and β = 87° 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.)