Answer:
Step-by-step explanation:
1). By applying cosine rule in the given triangle,
cos(x°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x°) = [tex]\frac{6}{8}[/tex]
x = [tex]\text{cos}^{-1}(\frac{3}{4} )[/tex]
x = 41.41°
2). By applying cosine rule in the given triangle,
cos(x°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x°) = [tex]\frac{4}{5}[/tex]
x = [tex]\text{cos}^{-1}(0.8)[/tex]
x = 36.87°
3). By applying cosine rule in the given triangle,
cos(x°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x°) = [tex]\frac{51}{85}[/tex]
x = [tex]\text{cos}^{-1}(0.6)[/tex]
x = 53.13°
