Question

In the following figure, the value of x is ______.Round Your Answer To The Nearest Tenth.

Answer 1

We can relate an angle and a side length in a right triangle using trigonometric ratios.

In this case, we can calculate x as:

`\begin{gathered} \sin (35\degree)=\frac{\text{Opposite}}{\text{Hypotenuse}}=(x)/(20) \\ x=20\cdot\sin (35\degree) \\ x\approx20\cdot0.574 \\ x\approx11.5 \end{gathered}`

Answer: x = 11.5