Answer:
A) [tex]x=42\sin32^\circ[/tex]
Step-by-step explanation:
With respect to our angle, the side opposite to it is [tex]x[/tex], and the hypotenuse is [tex]42[/tex], so the trig ratio we need to use here is sine as [tex]\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]. Hence, if we rearrange the equation so that we solve for the opposite side [tex]x[/tex], then we'll have [tex](\text{hypotenuse})(\sin\theta)=\text{opposite}\rightarrow42\sin32^\circ=x[/tex] as the correct equation.
