A 30-60-90 triangle intersects the unit circle at point (x,y) , where y=12 . What is the value of x in point (x,y) ? Use the equation of the unit circle to determine the missing coordinate.(1 point) Responses 2√2 Start Fraction Start Root 2 End Root over 2 End Fraction 1 1 12 Start Fraction 1 over 2 End Fraction 3√2

1 answer

The equation of the unit circle is given by:

x2+y2=1

In this case, we know y=12. We can substitute y into the equation:

x2+122=1

Calculating 122:

x2+144=1

Now, we can isolate x2:

x2=1144 x2=143

Since x2 cannot be negative, this indicates that there are no real values of x corresponding to the point on the unit circle with y=12. Therefore, the point (x,12) does not intersect the unit circle.

The value of x cannot be determined as part of a point on the unit circle.