find x. round your answer to the nearest tenth of a degree.\nx = °

Explanation:

Step1: Identify the trigonometric ratio

Using the tangent function, $\tan(x) = \frac{\text{opposite}}{\text{adjacent}}$. $$\tan(x) = \frac{13}{10}$$

Step2: Solve for x

Apply the inverse tangent function to both sides. $$x = \arctan\left(\frac{13}{10}\right)$$

Step3: Calculate the value

Compute the value and round to the nearest tenth. $$x \approx 52.4315^\circ \approx 52.4^\circ$$

Answer:

52.4