The coordinates of a point A is (3, 5). A line perpendicular to x–axis passes through point A. Find the length of the line segment from x–axis to A.

1. Break Down the Problem

To determine the length of the line segment from the x-axis to point A(3, 5), we need to find the vertical distance from point A to the x-axis. Since point A has a y-coordinate of 5, this distance can be directly inferred.

2. Relevant Concepts

The x-axis is represented by the line $y = 0$. The length of the vertical line segment from point A to the x-axis is the absolute value of the y-coordinate of point A.

3. Analysis and Detail

1. Identify the coordinates of point A:
   • $A(3, 5)$
2. The y-coordinate of point A is 5, which indicates the vertical distance to the x-axis:
   • Distance = $|y_A - y_{x-axis}| = |5 - 0| = 5$

4. Verify and Summarize

Here, the calculations involve simply interpreting the y-coordinate of point A as the distance to the x-axis. Since the calculations involved straightforward absolute value, they are verified.

Final Answer

The length of the line segment from the x-axis to point A is $5$ units.