Question

the length of the hypotenuse, line segment gh, in triangle gjh measures 6 cm. line segment jh measures 2 cm. which is the approximate measure of angle jgh?

Explanation:

Step1: Identify the sine - ratio

In right - triangle $\triangle CJH$, $\sin(\angle JCH)=\frac{JH}{CH}$. Given $JH = 2$ cm and $CH=6$ cm, so $\sin(\angle JCH)=\frac{2}{6}=\frac{1}{3}$.

Step2: Find the angle

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

Answer:

$19.5^{\circ}$