Respuesta :

Answer:[tex]\theta=53.5^0[/tex]Explanations:

The given diagram is a right angled triangle.

To make it obvious, It can be redrawn as:

From the right angled triangle:

Opposite = 9

Hypotenuse = 11.2

θ = unknown

Using the formula:

[tex]\begin{gathered} \sin \theta=\text{ }\frac{Opposite}{\text{Hypotenuse}} \\ \sin \theta=\text{ }\frac{9}{11.2} \\ \sin \theta=\text{ }0.804 \\ \theta=\text{ }\sin ^{-1}0.804 \\ \theta\text{ = }53.5^0 \end{gathered}[/tex]

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