Question

If you construct a line perpendicular to line a given by Y=22 through S(1,5) not on the line Y=22 Find the distance from S to line a

Answer 1

The distance from the point S to the line A is B. 17.

Step-by-step explanation:

Step 1; First, we plot line A which is y = 22. Line A is a line that is parallel to the x-axis at a distance of 22 units. The coordinates for line A are (x, 22) which means the points on line A are (0, 22), (1, 22), (2,22), (3,22) and so on. We plot point S at (1, 5)

Step 2; If we draw a perpendicular line from point S to line A, it will be a vertical line that intersects line A at the same x coordinate as point S. So the points are S (1, 5) and (1, 22).

Step 3; To find the distance between (1, 5) and (1, 22), we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

Distance between (1, 5) and (1, 22) where (1, 5) is (x1, y1) and (1, 22) is (x2, y2).

Distance = √ (1 - 1)² + (22 - 5)² = √ 0 + 17² = √17² = 17 units.