Question

What is the length, in inches of side a ?

Answer 1

`a=22\text{ inches}`

Step-by-step explanation

We want to find the length of side a.

To do that, we apply trigonometric ratios:

`\sin (\theta)=\frac{\text{opposite}}{\text{adjacent}}`

Therefore:

`\begin{gathered} \sin (30)=(a)/(44) \\ \Rightarrow a=44\cdot\sin (30) \\ a=22\text{ inches} \end{gathered}`

That is the length of side a.