Respuesta :

Answer:

A

Step-by-step explanation:

sin57° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{PQ}{PR}[/tex] = [tex]\frac{x}{18}[/tex]

∠ P = 180° - (90 + 57)° ← sum of angles in triangle

∠ P = 180° - 147° = 33° , then

cos33° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{PQ}{PR}[/tex] = [tex]\frac{x}{18}[/tex]

Thus the 2 ratios used to solve for x are A