Question

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

Answer 1

Applying SOHCAHTOA,

Given the following dimensions below;

`\begin{gathered} x=Opposite \\ Hypotenuse=22\text{ units} \\ \theta=43\degree \end{gathered}`

Applying the sine formula

`\sin\theta=(Opposite)/(Hypotenuse)`

Substitute the values of the variables

`\begin{gathered} \sin43\degree=(x)/(22) \\ x=22*\sin43\degree \\ x=15.00396 \\ x=15.0\text{ units \lparen nearest tenth\rparen} \end{gathered}`

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