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

Explanation:

Step1: Identify the trigonometric ratio

In the right triangle $BCD$, the side adjacent to angle $x$ is $CD = 1.9$ and the hypotenuse is $BD = 3$. $$\cos(x) = \frac{\text{adjacent}}{\text{hypotenuse}}$$

Step2: Substitute the given values

Substitute the lengths into the cosine formula. $$\cos(x) = \frac{1.9}{3}$$

Step3: Solve for the angle $x$

Apply the inverse cosine function to find the value of $x$. $$x = \arccos\left(\frac{1.9}{3}\right)$$

Step4: Calculate and round the result

Calculate the numerical value and round to the nearest tenth. $$x \approx 50.7035...^\circ$$

Answer:

$x = 50.7^\circ$