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SOMEONE PLEASE HELP! I need to find the value of X and round to the nearest tenth

SOMEONE PLEASE HELP I Need To Find The Value Of X And Round To The Nearest Tenth class=

Sagot :

itzBaraa

We know that the sine of an angle is equal to the opposite of this angle (which is 20) divided by the hypotenuse (30). This translates to [tex]sin(x)=\frac{20}{30}[/tex]

To solve this equation, we first have to get x to one of the equation's sides. To accomplish this, we will apply sine inverse to both ends.

[tex]sin^{-1}(sin(x))=sin^{-1}(\frac{20}{30} )[/tex]

Remember that [tex]sin^{-1}(sin(\theta))=\theta[/tex]

[tex]x=sin^{-1}(\frac{20}{30} )[/tex]

Simplify using your calculator and that will give us [tex]x=41.8\°[/tex]

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