Point E is located at coordinates $(0,1)$ on the terminal side of an angle in standard position. What is the measure of this angle in degrees?

• A. $0°$
• B. $270°$
• C. $180°$
• D. $90°$

Answer: (D)

Verified step by step guidance

1. Identify the coordinates of point E, which are given as (0, 1). This point lies on the terminal side of the angle in standard position.
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 point (0, 1).
3. Recognize that the point (0, 1) lies on the positive y-axis. The angle whose terminal side lies on the positive y-axis is 90 degrees.
4. Use the definition of the angle in standard position: the angle is measured counterclockwise from the positive x-axis to the terminal side. Since the terminal side is on the positive y-axis, the angle measure is 90 degrees.
5. Conclude that the measure of the angle in degrees is 90°.