Answer:
Step-by-step explanation:
A = 150°
B = 12°
C = 180 - (150 + 12) = 18°
b = 10 cm
Apply the sine rule:
[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]
Plug in the values
[tex] \frac{10}{sin(12)} = \frac{c}{sin(18)} [/tex]
Multiply both sides by sin(18)
[tex] \frac{10}{sin(12)}*sin(18) = \frac{c}{sin(18)}*sin(18) [/tex]
[tex] \frac{10*sin(18)}{sin(12)} = c [/tex]
c = 14.9 cm (nearest tenth)
