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Answer :

Answer:

RS ≈ 6.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin39° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{QR}{RS}[/tex] = [tex]\frac{4}{RS}[/tex] ( multiply both sides by RS )

RS × sin39° = 4 ( divide both sides by sin39° )

RS = [tex]\frac{4}{sin39}[/tex] ≈ 6.4 ( to the nearest tenth )