Given that angle $wzy$ is in standard position and its terminal side passes through the point $\left(2,3\right)$, what is the measure of angle $wzy$ to the nearest tenth of a degree?

• A. $54.5°$
• B. $56.3°$
• C. $125.5°$
• D. $71°$

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 (2, 3).
2. Recall that the angle in standard position is measured from the positive x-axis to the terminal side. To find this angle, we can use the tangent function, which relates the y-coordinate and x-coordinate of the point: \(\tan(\theta) = \frac{y}{x}\).
3. Calculate the ratio \(\frac{y}{x}\) using the coordinates: \(\frac{3}{2}\).
4. Use the inverse tangent function to find the angle \(\theta\): \(\theta = \tan^{-1}\left(\frac{3}{2}\right)\).
5. Convert the angle from radians to degrees if necessary, and round the result to the nearest tenth of a degree to get the measure of the angle.