Respuesta :

Answer:

QR ≈ 9.1

Step-by-step explanation:

using the cosine ratio in the right triangle

cos49° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{6}{QR}[/tex] ( multiply both sides by QR )

QR × cos49° = 6 ( divide both sides by cos49° )

QR = [tex]\frac{6}{cos49}[/tex] ≈ 9.1 ( to the nearest tenth )