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Answer :

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