Question

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

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta = 56^{\circ}$, the opposite side to the angle $56^{\circ}$ is $x$ and the hypotenuse is $86$.
So, $\sin(56^{\circ})=\frac{x}{86}$.

Step2: Solve for $x$

Multiply both sides of the equation by $86$: $x = 86\times\sin(56^{\circ})$.
We know that $\sin(56^{\circ})\approx0.829$.
Then $x=86\times0.829 = 71.3$.

Answer:

$71.3$