find the value of $x$.\n$x = \\square$\n(do not include the degree symbol in your answer. round to the…

find the value of $x$.\n$x = \\square$\n(do not include the degree symbol in your answer. round to the nearest degree as needed.)

find the value of $x$.\n$x = \\square$\n(do not include the degree symbol in your answer. round to the nearest degree as needed.)

Answer

Explanation:

Step1: Identify the trigonometric ratio

In the right triangle, the side opposite to angle $x$ is $5$ and the side adjacent to angle $x$ is $3$. $$\tan(x) = \frac{\text{opposite}}{\text{adjacent}}$$

Step2: Substitute the given values

$$\tan(x) = \frac{5}{3}$$

Step3: Solve for $x$ using the inverse tangent function

$$x = \arctan\left(\frac{5}{3}\right)$$

Step4: Calculate the numerical value

$$x \approx 59.036^{\circ}$$

Step5: Round to the nearest degree

$$x \approx 59$$

Answer:

59