Explanation:

To find the distance of a point from the y-axis, we need to measure the perpendicular distance from the point to the y-axis.

Given: Point (5, 12)

Steps to find the distance:

Step 1: Identify the coordinates of the point.

The given point is (5, 12), where 5 represents the x-coordinate and 12 represents the y-coordinate.

Step 2: Draw a line perpendicular to the y-axis passing through the point.

We draw a line from the point (5, 12) perpendicular to the y-axis. Let's call the point where the line intersects the y-axis as P.

Step 3: Measure the distance between the point and the y-axis.

The distance between the point (5, 12) and the y-axis is the length of the line segment formed by the point and point P on the y-axis.

Step 4: Calculate the distance using the Pythagorean theorem.

The distance can be calculated using the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the distance is the length of the line segment, which is the hypotenuse of a right-angled triangle. The other two sides are the x-coordinate (5) and the y-coordinate (12).

Using the Pythagorean theorem, we can calculate the distance as follows:

Distance = √((5)^2 + (12)^2)
= √(25 + 144)
= √169
= 13

Therefore, the distance of the point (5, 12) from the y-axis is 13 units.

Since none of the given options match the correct answer, it seems there is an error in the options provided. The correct answer should be option 'D' (13 units) instead of option 'A' (5 units).