Question

Find the measure of the side labeled x. Round to two decimal places as needed.

Answer 1

The Solution:

Given:

We are asked to find the value of x.

By applying the Trigonometrical Ratio, we have:

`\begin{gathered} \sin42.8=(opp)/(hypotenuse)=(x)/(20.9) \\ \\ \sin42.8=(x)/(20.9) \end{gathered}`

Cross multiplying, we get

`x=20.9\sin42.8=14.2003\approx14.20`

Therefore, the correct answer is 14.20