Question

Solve for AC. Round to the tenths place.

Answer 1

AC = 28.9 m (nearest tenth)

Explanation:

Given:

B = 83°

A = 38°

c = BA = 25 m

C = 180 - (83 + 38) = 59°

Required:

AC (b)

Solution:

Apply the Law of Sines

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

Plug in the values into the equation

`(AC)/(sin(83)) = (25)/(sin(59))`

Multiply both sides by sin(83)

`AC = (25*sin(83))/(sin(59))`

AC = 28.9 m (nearest tenth)