Question

Use the Law of Sines to write an expression that represents the angle measure x.28°2.5X = sin-1[Text Entry Box 1] · sin [Text Entry Box 2]°[Text Entry Box 3]Box 1 =Box 2 =Box 3 =

Answer 1

The law of sines can be expressed as seen below:

`(a)/(\sin A)=(b)/(\sin B)=(c)/(\sin C)`

Applying that to triangle we were given we obtain:

`\begin{gathered} (3)/(\sin38)=(2.5)/(\sin x) \\ 3\cdot\sin x=2.5\cdot\sin 38 \\ \sin x=(2.5\cdot\sin 38)/(3) \\ x=\sin ^(-1)((2.5\cdot\sin 38)/(3))_{} \end{gathered}`

So the first box is 2.5

The second box is 38

The third box is 3.