Respuesta :

Answer:

[tex]\cos ^{-1}(\frac{6.3}{9.8})[/tex]

[tex]\sin^{-1} (\frac{7.5}{9.8})[/tex]

Step-by-step explanation:

Recall and use the mnemonics SOH to obtain;

[tex]\sin(\angle ABC) =\frac{Opposite}{Hypotenuse}[/tex]

This implies that;

[tex]\sin(m \angle ABC) =\frac{7.5}{9.8}[/tex]

Take the inverse sine of both sides to get;

[tex]m\angle ABC =\sin^{-1} (\frac{7.5}{9.8})[/tex]

Also,

[tex]\cos (m\angle ABC)=\frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos (m\angle ABC)=\frac{6.3}{9.8}[/tex]

[tex]\Rightarrow m\angle ABC=\cos ^{-1}(\frac{6.3}{9.8})[/tex]

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