Question

P is the point (4,5). Pq is drawn perpenicular to x-axis, meeting it at Q. What is the length of pQ?

Answer 1

Coordinate of point P is (4,5)
As PQ is drawn perpendicular to X - axis, Coordinate of point Q is (4,0)
By Distance formula we can find the length of PQ :
$PQ = \sqrt {(x_{2} - x_{1})^{2} } + {(y_{2} - y_{1})^{2}}$
            = $\sqrt {(4 - 4)^{2} } + {(0 - 5)^{2}}$
            = $\sqrt{(- 5)^{2}}$
            = $\sqrt{25}$
            = $5$ units.