Answer:
AC = 28.9 m (nearest tenth)
Step-by-step explanation:
Given:
B = 83°
A = 38°
c = BA = 25 m
C = 180 - (83 + 38) = 59°
Required:
AC (b)
Solution:
Apply the Law of Sines
[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]
Plug in the values into the equation
[tex] \frac{AC}{sin(83)} = \frac{25}{sin(59)} [/tex]
Multiply both sides by sin(83)
[tex] AC = \frac{25*sin(83)}{sin(59)} [/tex]
AC = 28.9 m (nearest tenth)
