Answer:
Option 2: [tex]\sin(30)=\frac{1}{2}[/tex]
Step-by-step explanation:
Given:
From the triangle shown below;
A triangle QRS with angle QRS = 90°, ∠QSR = 30°.
Side QR = 5, SQ = 10 and RS = 5√3
Now, we know from trigonometric ratio that,
[tex]\sin (A) = \frac{Opposite\ side}{Hypotenuse}[/tex]
Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,
[tex]\sin(\angle QSR)=\dfrac{QR}{SQ}\\\\\\\sin(30)=\dfrac{5}{10}\\\\\\\sin(30)=\dfrac{5}{2\times 5}=\dfrac{1}{2}[/tex]
Therefore, the value of sine of 30° is one-half. So, second option is correct.
