Question

Find the value of x using the laws of sine.​

Answer 1

Rounded to nearest hundredths is 8.75.

Rounded to nearest tenths is 8.7.

Explanation:

Law of sines:

`\frac{\sin(A)}{\text{ side opposite to }A}=\frac{\sin(B)}{ \text{ side opposite to }B}`

Measure of angle
`A` is 28 and the side opposite to it is
`x`.

Measure of angle
`B` is 105 and the side opposite to it is 18.

Plug in to the formula giving:

`(\sin(28))/(x)=(\sin(105))/(18)`

Cross multiply:

`18 \sin(28)=x \sin(105)`

Divide both sides by sin(105):

`(18 \sin(28))/(\sin(105))=x` is the exact answer.

I'm going to type it in my calculator now:

18*sin(28) / sin(105) is what is going in there.

The output is 8.748589074.

Rounded to nearest hundredths is 8.75.

Rounded to nearest tenths is 8.7.