Answer
The distance from A to B is 58.6 feet
Work Step by Step
We can find angle $A$:
$A+B+C = 180^{\circ}$
$A = 180^{\circ}-B-C$
$A = 180^{\circ}-58.4^{\circ}-27.9^{\circ}$
$A = 93.7^{\circ}$
We can use the law of sines to find the length of side $AB$:
$\frac{AB}{sin~C} = \frac{BC}{sin~A}$
$AB = \frac{BC~sin~C}{sin~A}$
$AB = \frac{(125~ft)~sin~(27.9^{\circ})}{sin~93.7^{\circ}}$
$AB = 58.6~ft$
The distance from A to B is 58.6 feet
