Question

solve for x. round to the nearest tenth, if necessary.
answer attempt 1 out of 4
x =

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$
Here, $\theta=68^\circ$, opposite side $=77$, hypotenuse $=x$.

Step2: Substitute values into ratio

$\sin(68^\circ)=\frac{77}{x}$

Step3: Rearrange to solve for $x$

$x=\frac{77}{\sin(68^\circ)}$

Step4: Calculate value

$\sin(68^\circ)\approx0.9272$, so $x\approx\frac{77}{0.9272}\approx83.0$

Answer:

$83.0$