ANSWER
18.1
EXPLANATION
AC is the shortest leg of triangle CAD. The hypotenuse is AD = 30 and AC is the opposite leg to the given angle, m∠ADC = 37°.
We can find the length of side AC using the sine of the given angle,
[tex]\begin{gathered} \sin 37\degree=\frac{AC}{AD} \\ \\ \sin 37\degree=\frac{AC}{30} \end{gathered}[/tex]
Solving for AC,
[tex]AC=30\sin 37\degree=18.1[/tex]
Hence, the length of AC is 18.1.
