![Find the missing side. Round to the nearest tenth. x 9 28° x = [?] class=](https://us-static.z-dn.net/files/d04/50c00fe8fd51b4d2e479b6e5861b13d5.png)
The required value of x nearest to tenth is 19.17
The longest side of the right angled triangle is called hypotenuse
By the Pythagoras theorem in the right angled triangle
h^2 = b^2 + p^2
where h = hypotenuse, b = base, p = perpendicular
Here we have given perpendicular p = 9
and an angle = 28°
Using sin for the given angle we have
sin 28° = [tex]\frac{perpendicular}{hypotenuse}[/tex]
0.46947 = [tex]\frac{9}{x}[/tex]
x = [tex]\frac{9}{0.46947}[/tex]
x = 19.17
Hence the required length of the side hypotenuse = x = 19.17
This is the conclusion to the answer.
Learn more about hypotenuse here-
https://brainly.com/question/2217700
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