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triangle. round your answer to the nearest tenth. $x = $

Question

triangle. round your answer to the nearest tenth.
$x = $

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$
Here, $\theta=41^\circ$, opposite side is $x$, adjacent side is 11.

Step2: Rearrange to solve for $x$

$x = 11 \times \tan(41^\circ)$

Step3: Calculate the value

First, $\tan(41^\circ) \approx 0.8693$, so:
$x \approx 11 \times 0.8693 = 9.5623$

Step4: Round to nearest tenth

Round 9.5623 to 1 decimal place.

Answer:

9.6