Respuesta :

Answer:

9). x = 36.9°

10). x = 18.3°

Step-by-step explanation:

9). By applying tangent rule in the given triangle,

   tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

   tan(x) = [tex]\frac{9}{12}[/tex]

   x = [tex]\text{tan}^{-1}(\frac{3}{4})[/tex]

   x = 36.87°

   x = 36.9°

10). By applying sine rule in the given triangle,

   sin(x) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

   sin(x) = [tex]\frac{11}{35}[/tex]

   x = [tex]\text{sin}^{-1}(\frac{11}{35})[/tex]

   x = 18.32

   x ≈ 18.3°