If angle $\mathrm{pnl}$ is in standard position and its terminal side passes through the point $(0,1)$, what is the measure of angle $\mathrm{pnl}$ in degrees?

• A. $47°$
• B. $43°$
• C. $90°$
• D. $86°$

Answer: (C)

Verified step by step guidance

1. Identify that the angle \( \angle pnl \) is in standard position, meaning its vertex is at the origin and its initial side lies along the positive x-axis.
2. Note that the terminal side of the angle passes through the point \( (0, 1) \). This point lies on the y-axis above the origin.
3. Recall that the angle in standard position whose terminal side lies on the positive y-axis corresponds to an angle of \( 90^\circ \).
4. Understand that since the point \( (0, 1) \) is directly above the origin on the y-axis, the terminal side forms a right angle with the positive x-axis.
5. Conclude that the measure of \( \angle pnl \) is \( 90^\circ \) without needing to calculate any trigonometric ratios.