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
12
Start Fraction 1 over 2 End Fraction
1
1
3√2
Start Fraction Start Root 3 End Root over 2 End Fraction
2√2
The equation of the unit circle is x^2 + y^2 = 1.
Since y = 12, we can substitute this into the equation:
x^2 + (12)^2 = 1
x^2 + 144 = 1
x^2 = 1 - 144
x^2 = -143
Since we are looking for a real value for x, the equation has no solutions. Therefore, the value of x in point (x,y) is undefined.