If an angle $y$ in standard position has its terminal side passing through the point $\left(0,,,1\right)$, what is the measure of $y$ in degrees?

• A. $43°$
• B. $90°$
• C. $172°$
• D. $68°$

Answer: (B)

Verified step by step guidance

1. Identify the coordinates of the point through which the terminal side of the angle passes. Here, the point is (0, 1).
2. Recall that an angle in standard position has its vertex at the origin (0, 0) and its initial side along the positive x-axis. The terminal side passes through the given point.
3. Since the point is (0, 1), it lies on the positive y-axis. This means the terminal side of the angle is vertical and points straight up.
4. The angle whose terminal side lies on the positive y-axis is exactly 90 degrees, because it is a quarter turn counterclockwise from the positive x-axis.
5. Therefore, the measure of angle y in degrees is 90°, corresponding to the terminal side passing through (0, 1).