Answer:
6.2 units.
Step-by-step explanation:
We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.
[tex]\frac{8}{sin(90)}=\frac{x}{sin(180-39-90)}=\frac{x}{sin(51)}[/tex]
Cross multiplying and solving will get you this:
[tex]x=\frac{8(sin(51))}{sin(90}[/tex]
Which can simplify to:
[tex]x=8(sin(51))[/tex]
Which putting into a calculator gets you:
[tex]x=6.2[/tex]
So the line PR is 6.2 units long.
