Question

, Find the value of x. Round lengths of segments to the nearest tenth and angle measures to the nearest degree.

Answer 1

Given the Right Triangle shown in the exercise, you need to find the value of "x" in order to find the measure of the angle.

In order to do it, you can use the following Inverse Trigonometric Function:

`\beta=\arcsin ((opposite)/(hypotenuse))`

In this case, you can identify that:

`\begin{gathered} \beta=x \\ opposite=4 \\ hypotenuse=5 \end{gathered}`

Then, substituting values and evaluating, you get:

`\begin{gathered} x=\arcsin ((4)/(5)) \\ \\ x\approx53.13\degree \end{gathered}`

Hence, the answer is:

`x\approx53.13\degree`