Answer:
The answer to your question is QS = 5
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 =
![(opposite side)/(hypotenuse)](https://img.qammunity.org/2021/formulas/mathematics/high-school/1ko17c0yvnz7avu67jea90c9wus4f9u61a.png)
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