EXPLANATION
Since this is a right triangle, we can compute the value of x by applying the trigonometric ratio, as shown as follows:
[tex]\sin x=\frac{Opposite\text{ cathetus}}{\text{Hypotenuse}}=[/tex]
Plugging in the terms:
[tex]\sin x=\frac{Opposite\text{ cathetus}}{\text{Hypotenuse}}=\frac{7}{9.4}[/tex]
Computing the fraction:
[tex]\sin x=\frac{7}{9.4}=\frac{35}{47}[/tex]
Applying sin^-1 to both sides:
[tex]x=\sin ^{-1}(\frac{35}{47})[/tex]
Computing the argument:
[tex]x=48.131693\text{ degre}es[/tex]
Rounding to the nearest tenth:
[tex]x=48.1\text{ degre}es[/tex]
In conclusion, the value of x is 48.1 degrees
