Answer:
8.5
Explanation:
The law of sines is provided along with the question
What it means is that the ration of a side to the sine of the angle opposite it is the same for all sides
We have one side given = 18
The angle opposite it is 83°
The ratio =18/sin(83)
Unknown x has an opposite angle of 28°
The ratio is x /sin(28)
Both ratios must equal each other
So
x /sin(28) = 18/sin(83)
Multiplying both sides by sin(28) isolates the x
x/sin(28) x sin(28) = 18/sin(83) x sin(28)
So x = [18/sin(83)] x sin(28) = 18 x sin(28)/sin(83)
Using a calculator we get
x = 8.51394 which can be rounded to the nearest tenth as 8.5