Question

solve for $x$. round to the nearest tenth, if necessary.
answer attempt 1 out of 2
$x =$

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta=75^\circ$, opposite side to $\theta$ is $NO=6.3$, hypotenuse is $MO=x$.

Step2: Rearrange to solve for $x$

$x=\frac{6.3}{\sin(75^\circ)}$

Step3: Calculate value of $\sin(75^\circ)$

$\sin(75^\circ)\approx0.9659$

Step4: Compute $x$

$x\approx\frac{6.3}{0.9659}\approx6.5$

Answer:

$6.5$