Question

solve for $x$. round to the nearest tenth, if necessary.

Explanation:

Step1: Identify trigonometric ratio

We use cosine: $\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$
Here, $\theta=44^\circ$, adjacent side = 9, hypotenuse = $x$.

Step2: Substitute values into formula

$\cos(44^\circ) = \frac{9}{x}$

Step3: Rearrange to solve for $x$

$x = \frac{9}{\cos(44^\circ)}$

Step4: Calculate and round

$\cos(44^\circ) \approx 0.7193$, so $x \approx \frac{9}{0.7193} \approx 12.5$

Answer:

$12.5$