Answer
$AB\approx2.30$ mi
Work Step by Step
Using the law of cosines:
$AB=\sqrt{2.82^2+3.56^2-2(2.82)(3.56)\cdot $cos$(40.3º)}$
$AB=\sqrt{7.9524+12.6736-20.0784\cdot 0.7627}$
$AB=\sqrt{20.626-15.3138}$
$AB=\sqrt{5.312}$
$AB\approx2.30$ mi