Question

PLEASE HELP ASAP TRIGONOMETRY

Answer 1

Answer:

11). x = 25.8°

12). x = 67.3°

Step-by-step explanation:

11). By using sine rule in the given triangle,

   cos(x) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

   cos(x) = $\frac{27}{30}$

   x = $\text{cos}^{-1}(\frac{9}{10} )$

   x = 25.84

   x ≈ 25.8°

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

    tan(x) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

    tan(x) = $\frac{43}{18}$

    x = $\text{tan}^{-1}(\frac{43}{18} )$

    x = 67.29°

    x ≈ 67.3°