the length of the hypotenuse, line segment gh, in triangle gjh measures 6 cm. line segment jh measures 2 cm…

Answer:

A. $19.5^{\circ}$

Explanation:

Step1: Recall sine - function definition

In right - triangle $GJH$, $\sin(\angle JGH)=\frac{JH}{GH}$.

Step2: Substitute given values

Given $GH = 6$ cm and $JH=2$ cm, so $\sin(\angle JGH)=\frac{2}{6}=\frac{1}{3}$.

Step3: Find the angle

We know that if $\sin\theta=\frac{1}{3}$, then $\theta=\sin^{- 1}(\frac{1}{3})$. Using a calculator, $\sin^{-1}(\frac{1}{3})\approx19.5^{\circ}$.