What is the length of side AC in Figure

Options

A. `10.77`
B. `10.83`
C. `10.89`
D. `13.16`

Answer

C

Explanation

With the information provided, you can use the Law of Since to solve for the unknown.
`(b)/(sin B) = (c )/(sin C)`
where b and c represent the lengths of the sides opposite the angles B and C, respectively.
`(b)/(sin 37^(@))=(18)/(sin 96^(@))`
`b = (18 sin 37^(@))/(sin 96^(@))`
`b = 10.89`