Question

trigonometric ratios
julian describes an angle in the triangle using these statements.
\\( overline{gh} \\) is the adjacent side.
\\( overline{hk} \\) is the opposite side.
\\( overline{gk} \\) is the hypotenuse.
which angle(s) is julian describing?
\\( angle k \\)
\\( angle h \\) and \\( angle k \\)
\\( angle g \\)
\\( angle h \\)

Explanation:

Step1: Recall trigonometric - ratio definitions

In a right - triangle, for an angle $\theta$, the adjacent side is the non - hypotenuse side next to $\theta$, the opposite side is the non - hypotenuse side across from $\theta$, and the hypotenuse is the longest side.
For $\angle G$, the adjacent side is $\overline{GH}$, the opposite side is $\overline{HK}$, and the hypotenuse is $\overline{GK}$.

Step2: Match with given statements

The statements " $\overline{GH}$ is the adjacent side, $\overline{HK}$ is the opposite side, $\overline{GK}$ is the hypotenuse" match the sides relative to $\angle G$.

Answer:

$\angle G$