## Trigonometry 7th Edition

$A = 92˚$ $b \approx 6.1$ m $c \approx 3.8$ m
1. Solve for the unknown angle $A$ $A + 57 + 31 = 180$ $A + 88 = 180$ $A = 92˚$ 2. Solve for the missing length $b$ $\frac{b}{sin(57)} =\frac{7.3}{sin(92)}$ $b = \frac{7.3sin(57)}{sin(92)}$ by GDC / calculator $b = \frac{6.12...}{0.999...}$ $b = 6.1260...$ m $b \approx 6.1$ m 3. Solve for the missing length $c$ $\frac{c}{sin(31)} =\frac{7.3}{sin(92)}$ $c = \frac{7.3sin(31)}{sin(92)}$ by GDC / calculator $c = \frac{3.759...}{0.999...}$ $c = 3.762....$ m $c \approx 3.8$ m