Question

current skill $\\$$
what is the value of x?

do not round your answer. write it as a simplified radical expression
when needed.

Explanation:

Step1: Identify triangle type and angle

The figure is a right triangle with a $60^\circ$ angle, so the third angle is $30^\circ$. The segment labeled 14 is opposite the $30^\circ$ angle, and $x$ is opposite the $60^\circ$ angle.

Step2: Find side opposite 60°

In a 30-60-90 triangle, the side opposite $60^\circ$ is $\sqrt{3}$ times the side opposite $30^\circ$.
$x = 14\sqrt{3}$

Answer:

$14\sqrt{3}$