Respuesta :

Answer:

30

Step-by-step explanation:

[tex]\sin^{-1}(\theta)[/tex] is going to output a number in between [tex]\frac{-\pi}{2}[/tex] and [tex]\frac{\pi}{2}[/tex].

Luckily you are looking for [tex]\theta[/tex] in the 1st quadrant which is contained in the given interval above, so the answer just comes down to what the calculator returns from entering [tex]\sin^{-1}(\frac{1}{2})[/tex] in your calculator.

You may also use the unit circle.  sine value refers to the y-coordinate on there.

So you are looking for when the y-coordinate is 1/2 in the fist quadrant which is at 30 degrees.