Answer:
x=7.13 centimeters
Explanation:
Remember!!! Trig Functions: Sinθ=Opposite/Hypotenuse, Cosθ=Adjacent/Hypotenuse, tanθ=Opposite/Adjacent (An easy way to remember is SOH CAH TOA)
For this particular problem you need to find the opposite side and the hypotenuse is given and so is the angle. So we can plug into Sinθ=Opposite/Hypotenuse in our calculator:
Sin(63°)=x/8
8(Sin(63°))=x
x=7.13