Question

Need x please?????????I’m looking to find x. The line inside is just to know where x is.Round to the nearest tenth.

Answer 1

The triangle given in the exercise is a Right Triangle because the square inside it indicates that it has an angle that measures 90 degrees.

Then, you can use the following Trigonometric Function:

`\sin \alpha=(opposite)/(hypotenuse)`

In this case:

`\begin{gathered} \alpha=31\degree_{} \\ opposite=11 \\ hypotenuse=x \end{gathered}`

Then, by substituting values and solving for "x", you get:

`\begin{gathered} \sin (31\degree)=(11)/(x) \\ \\ x\cdot\sin (31\degree)=11 \end{gathered}`
`\begin{gathered} x=(11)/(\sin (31\degree)) \\ \\ x\approx21.4 \end{gathered}`

Therefore, the answer is:

`x\approx21.4`