Question

Solving for x. I tried on my own, but have managed to give myself a headache and would like help.

Answer 1

We can use the sine definition to solve it for x

`\begin{gathered} \sin B=\frac{\text{opposite}}{\text{hypotenuse}} \\ \\ \sin 45\degree=\frac{\text{x}}{17} \end{gathered}`

sin 45° is a known value, therefore

`\begin{gathered} x=17\sin 45\degree \\ \\ \end{gathered}`

Remember that

`\sin 45=\frac{\sqrt[]{2}}{2}`

Now we can use it to find it x

`x=\frac{17\cdot\sqrt[]{2}}{2}`

There's nothing to simplify, we can write it as decimal if we want

`x=\frac{17\, \sqrt[]{2}}{2}\approx12.02`

Final answer:

`x=\frac{17\, \sqrt[]{2}}{2}\approx12.02`