Answer:
[tex]AC=15.9976[/tex]
Step-by-step explanation:
Law of Sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]
Step 1: Define
a = 8 ft
A = 30°
b = ?
B = 89°
Step 2: Substitute and Evaluate
[tex]\frac{sin(30)}{8} =\frac{sin(89)}{b}[/tex]
[tex]bsin(30)=8sin(89)[/tex]
[tex]b=\frac{8sin(89)}{sin(30)}[/tex]
[tex]b=16cos(1)[/tex]
[tex]b=15.9976[/tex]
[tex]AC=15.9976[/tex]
