Answer:
2 inches.
Explanation:
In a right triangle:
• The side opposite the right angle = 4 inches
,• Let the side opposite the 30 degrees angle = x.
Note that the side opposite the right angle is always the hypotenuse.
The diagram is drawn and attached below:
Next, we solve for x.
From trigonometrical ratios:
[tex]\begin{gathered} \sin \theta=\frac{\text{Opposite side length to }\theta}{\text{Length of the Hypotenuse}} \\ \implies\sin 30\degree=\frac{x}{4} \end{gathered}[/tex]Cross multiply.
[tex]\begin{gathered} x=4\times\sin 30\degree \\ x=4\times0.5 \\ x=2\text{ inches} \end{gathered}[/tex]The measurement of the side opposite the 30-degree angle is 2 inches.
