Question

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

Explanation:

Step1: Identify trigonometric ratio

We use cosine, since $\cos(x) = \frac{\text{adjacent}}{\text{hypotenuse}}$. Here, adjacent side to $x^\circ$ is $3.3$, hypotenuse is $6$.
$\cos(x) = \frac{3.3}{6}$

Step2: Simplify the ratio

Calculate the value of the fraction.
$\cos(x) = 0.55$

Step3: Solve for $x$

Use inverse cosine to find $x$.
$x = \cos^{-1}(0.55)$

Step4: Calculate and round

Compute the value and round to nearest tenth.
$x \approx 56.6^\circ$

Answer:

$56.6$