Geometry

Question Analysis  

Find the y-coordinate of a unit circle point in Quadrant I with , using the unit circle equation or 30-60-90 triangle ratios.  

 

Key Concept Explanation  

Unit Circle Equation: for any point on the circle.  

30-60-90 Triangles: In Quadrant I, corresponds to , where .  

 

Step-by-Step Solution  

1. Apply the unit circle equation:  

.  

2. Calculate :  

.  

3. Solve for :  

.  

4. Take the positive square root (Quadrant I):