Question

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

Explanation:

Step1: Use tangent function

In right - triangle DEF, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 61^{\circ}$, the opposite side to $\angle F$ is $x$ and the adjacent side is 11. So $\tan(61^{\circ})=\frac{x}{11}$.

Step2: Solve for $x$

We know that $\tan(61^{\circ})\approx1.804$. Then $x = 11\times\tan(61^{\circ})$. Substituting the value of $\tan(61^{\circ})$, we get $x=11\times1.804 = 19.844$.

Step3: Round to nearest tenth

Rounding 19.844 to the nearest tenth gives $x\approx19.8$.

Answer:

$19.8$