Question

find the value of variable x. if your answer is not an integer, write it in simplest radical form with the denominator rationalized.
$x=\square$
(simplify your answer. type an integer or a simplified fraction.)

Explanation:

Step1: Identify triangle angles/sides

The right triangle has angles $30^\circ$, $60^\circ$, $90^\circ$. The side opposite $30^\circ$ is $x$, and the hypotenuse is $10$.

Step2: Apply 30-60-90 triangle rule

In a 30-60-90 triangle, the side opposite $30^\circ$ is $\frac{1}{2}$ the hypotenuse.
$x = \frac{1}{2} \times 10$

Step3: Calculate the value

$x = 5$

Answer:

$x=5$