Question

Find the perpendicular distance of A (5, 12) from the Y-axis. (Full Explanation)​

Answer 1

HOPe this would be helpfull.

If a point (5, 12) means 5 on x axis and 12 on y axis. So perpendicular from that point to y axis is on to the 12 and that point is (0, 12) if it was asked to obtain distance from x axis the point must be here (5, 0).

Answer is in the photo below

Answer 2

Let the point perpendicular to point A(5,12) at the Y axis be P(x,y).

Since, the point P is on y axis, x=0 and since the point P is perpendicular to point A, y=12.

Applying distance formula

$ap = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }$

$ap = \sqrt{(5 - 0) {}^{2} + (12 - 12) {}^{2} }$

$ap = \sqrt{(5) {}^{2} }$

$ap = 5 \: units$

Therefore, the perpendicular distance of A(5,12) from the y axis is 5 units.

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