Question

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

Answer 1

Answer:
`\theta=53.5^0`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:

`\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}`