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Find the missing angle and round your answer to the nearest tenth.11.2B

Find the missing angle and round your answer to the nearest tenth.11.2B-example-1

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Answer:
\theta=53.5^0Explanations:

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:


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

Find the missing angle and round your answer to the nearest tenth.11.2B-example-1
User Jieong
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