Question

Use the figure below and the given information for Questions #5, #6 and #7

Answer 1

18.1

Step-by-step 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,

`\begin{gathered} \sin 37\degree=(AC)/(AD) \\ \\ \sin 37\degree=(AC)/(30) \end{gathered}`

Solving for AC,

`AC=30\sin 37\degree=18.1`

Hence, the length of AC is 18.1.