Answer:
The answer to your question is QS = 5
Step-by-step explanation:
Data
hypotenuse = RQ = 8
angle = 39°
Opposite side = QS = ?
To solve this problem use trigonometric functions. The trigonometric function that relates the opposite side to hypotenuse is sine.
        sin α = [tex]\frac{opposite side}{hypotenuse}[/tex]
Solve for opposite side
        Opposite side = hypotenuse x sin α
Substitution
        Opposite side = 8 sin 39
Simplification
        Opposite side = 8(0.63)
Result
        Opposite side = 5.0