solve for $x$. round to the nearest tenth, if necessary.\nanswer attempt 1 out of 2\n$x = \\square$

solve for $x$. round to the nearest tenth, if necessary.\nanswer attempt 1 out of 2\n$x = \\square$

solve for $x$. round to the nearest tenth, if necessary.\nanswer attempt 1 out of 2\n$x = \\square$

Answer

Explanation:

Step1: Identify trigonometric ratio

We use cosine: $\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$ Here, $\theta = 43^\circ$, adjacent side = $x$, hypotenuse = 30.

Step2: Rearrange to solve for $x$

$x = 30 \times \cos(43^\circ)$

Step3: Calculate value

$\cos(43^\circ) \approx 0.7314$, so $x \approx 30 \times 0.7314 = 21.942$

Step4: Round to nearest tenth

$x \approx 21.9$

Answer:

21.9