Question

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

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta=71^\circ$, opposite side is $x$, adjacent side is $8.1$.

Step2: Rearrange to solve for $x$

$x = 8.1 \times \tan(71^\circ)$

Step3: Calculate value

First find $\tan(71^\circ)\approx2.9042$, then $x\approx8.1\times2.9042$
$x\approx23.52402$

Step4: Round to nearest tenth

Round $23.52402$ to 1 decimal place.

Answer:

23.5