Question

Find AC!
Round to the nearest tenth.
B.
239
132
6
A

Answer 1

11.4

Explanation:

Given:

B = 132°

C = 23°

c = AB = 6

Required:

AC (b)

Solution:

Apply the Law of Sines

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

Plug in the values

`(b)/(sin(132)) = (6)/(sin(23))`

Multiply both sides by sin 132

`b = (6*sin(132))/(sin(23))`

b = 11.4116041

b = AC ≈ 11.4 (nearest tenth)