Question

Find c. Round to the nearest tenth.

Answer 1

Answer:

Step-by-step explanation:

A = 150°

B = 12°

C = 180 - (150 + 12) = 18°

b = 10 cm

Apply the sine rule:

$\frac{b}{sin(B)} = \frac{c}{sin(C)}$

Plug in the values

$\frac{10}{sin(12)} = \frac{c}{sin(18)}$

Multiply both sides by sin(18)

$\frac{10}{sin(12)}*sin(18) = \frac{c}{sin(18)}*sin(18)$

$\frac{10*sin(18)}{sin(12)} = c$

c = 14.9 cm (nearest tenth)