Answer:
Step-by-step explanation:
4). By applying cosine rule for angle R,
cos(∠R) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(33°) = [tex]\frac{x}{19}[/tex] [Equation]
x = 19cos(33°)
= 8.39
5). By applying sine rule,
cos(20°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
cos(20°) = [tex]\frac{15}{x}[/tex] [Equation]
x = [tex]\frac{15}{\text{cos}20}[/tex]
x = 15.96
6). By applying tangent rule,
tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(40°) = [tex]\frac{15}{x}[/tex] [Equation]
x = [tex]\frac{15}{\text{tan}40}[/tex]
x = 17.88
