Respuesta :

Answer:

Option (D)

Step-by-step explanation:

By applying sine rule in the triangle shown,

Since, [tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

By this rule,

[tex]\text{sinx}=\frac{\text{5000}}{8000}[/tex]

x = [tex]\text{sin}^{-1}(\frac{5}{8})[/tex]

x = [tex]\text{sin}^{-1}(0.625)[/tex]

x = 38.682°

  ≈ 38.7°

Therefore, Option (D) is the correct option.