Question

find the length of side $x$ to the nearest tenth.
answer attempt 1 out of 2
$x = $

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$
Here, $\theta=60^\circ$, opposite side $=x$, adjacent side $=3$.

Step2: Set up tangent equation

$\tan(60^\circ)=\frac{x}{3}$

Step3: Solve for $x$

$x=3\times\tan(60^\circ)$
Since $\tan(60^\circ)=\sqrt{3}\approx1.732$,
$x=3\times1.732=5.196$

Step4: Round to nearest tenth

$x\approx5.2$

Answer:

$x=5.2$