Find the angle represented by x (rounded to the nearest tenth of a degree).
A)32.6°
B)36.4°
C)37.8°
D)38.7°

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.