Question

Find c. Round to the nearest tenth.

Answer 1

Explanation:

A = 150°

B = 12°

C = 180 - (150 + 12) = 18°

b = 10 cm

Apply the sine rule:

`(b)/(sin(B)) = (c)/(sin(C))`

Plug in the values

`(10)/(sin(12)) = (c)/(sin(18))`

Multiply both sides by sin(18)

`(10)/(sin(12))*sin(18) = (c)/(sin(18))*sin(18)`

`(10*sin(18))/(sin(12)) = c`

c = 14.9 cm (nearest tenth)