The problem asks us to find the angle between the positive y-axis and the line connecting the origin $(0,0)$ to the point $(4,2)$ in the Cartesian plane. The answer should be in radians.

1. Problem Description

The problem asks us to find the angle between the positive y-axis and the line connecting the origin $(0,0)$ to the point $(4,2)$ in the Cartesian plane. The answer should be in radians.

2. Solution Steps

First, we find the angle $\theta$ between the positive x-axis and the line connecting the origin to the point $(4, 2)$. We can use the arctangent function:

$\theta = \arctan(\frac{y}{x}) = \arctan(\frac{2}{4}) = \arctan(\frac{1}{2})$

$\theta \approx 0.4636$ radians.

Now, let $\alpha$ be the angle between the positive y-axis and the line. Since the angle between the positive x-axis and the positive y-axis is $\frac{\pi}{2}$ radians, we have:

$\alpha = \frac{\pi}{2} - \theta$

Since $\frac{\pi}{2} \approx 1.5708$,

$\alpha \approx 1.5708 - 0.4636 = 1.1072$ radians.

The closest option is 1.1 radians.

3. Final Answer

1.1 radians