Find the value of x in the givenright triangle.107хx = [?]°Enter your answer as a decimal rounded to thenearest tenth.Enter

ANSWER:
44.4°
STEP-BY-STEP EXPLANATION:
The value of x can be calculated by means of the trigonometric ratio sine, just like this:
[tex]\begin{gathered} \sin \theta=\frac{\text{ opposite}}{\text{ hypotenuse}} \\ \text{opposite = 7} \\ \text{hypotenuse = 10} \\ \theta=x \end{gathered}[/tex]replacing and solving for x:
[tex]\begin{gathered} \sin x=\frac{7}{10} \\ x=\arcsin (\frac{7}{10}) \\ x=44.4\text{\degree} \end{gathered}[/tex]The value of x is 44.4°