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I need help solving for x, then rounding my answer to the nearest tenth, please.15.01011.312.0

I Need Help Solving For X Then Rounding My Answer To The Nearest Tenth Please15010113120 class=

Sagot :

Solution:

Applying SOHCAHTOA,

Given the following dimensions below;

[tex]\begin{gathered} x=Opposite \\ Hypotenuse=22\text{ units} \\ \theta=43\degree \end{gathered}[/tex]

Applying the sine formula

[tex]\sin\theta=\frac{Opposite}{Hypotenuse}[/tex]

Substitute the values of the variables

[tex]\begin{gathered} \sin43\degree=\frac{x}{22} \\ x=22\times\sin43\degree \\ x=15.00396 \\ x=15.0\text{ units \lparen nearest tenth\rparen} \end{gathered}[/tex]

Hence, the value of x is 15.0 units (nearest tenth)