Answer:
11.4
Step-by-step explanation:
Given:
B = 132°
C = 23°
c = AB = 6
Required:
AC (b)
Solution:
Apply the Law of Sines
[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]
Plug in the values
[tex] \frac{b}{sin(132)} = \frac{6}{sin(23)} [/tex]
Multiply both sides by sin 132
[tex] b = \frac{6*sin(132)}{sin(23)} [/tex]
b = 11.4116041
b = AC ≈ 11.4 (nearest tenth)
