Answer:
x = 50.8°
Step-by-step explanation:
By applying cosine ratio in the given triangle PQN,
cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{PN}{PQ}[/tex]
cos(x) = [tex]\frac{12}{19}[/tex]
x = [tex]\text{cos}^{-1}(\frac{12}{19})[/tex]
x = 50.83°
x ≈ 50.8°