Answer:
Step-by-step explanation:
a). tan(75°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{11}{k}[/tex]
k = [tex]\frac{11}{\text{tan}(75)}[/tex]
k = 2.947
k = 2.95 cm
b). cos(52°) = [tex]\frac{16}{s}[/tex]
s = [tex]\frac{16}{\text{cos}(52)}[/tex]
s = 25.988
s ≈ 25.99 cm
c). sin(5°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{16.1}{q}[/tex]
q = [tex]\frac{16.1}{\text{sin}(5)}[/tex]
q = 184.727
q ≈ 184.73 cm