Question

Write the distance of the point (-3, -8) from the x- axis.
plz answer fast

Answer 1

$\underline { \boxed { \bold {\bigstar \; Question \; \bigstar}}}$

➠ Write the distance of the point (-3, -8) from the x- axis.

$\; \; \;$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\; \; \;$

$\underline { \boxed { \bold {\bigstar \; Important \; Information \; \bigstar}}}$

$\; \; \;$

❏ Distance from any point always means perpendicular distance or shortest distance.

$\; \; \;$

❏ There are many ways to find distance.

• Distance formula
• Using Geometry
• Formula of perpendicular distance (Class 11)

$\; \; \;$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\; \; \;$

$\underline { \boxed { \bold {\bigstar \; Answer \; \bigstar}}}$

Let's Start !

$\; \; \;$

1) Using geometry

$\; \; \;$

• Refer attachment

$\; \; \;$

As you can see,

• Point (-3,-8) lies in 3rd quadrant

So here y-coordinate represents distance of given point from x-axis.

$\; \; \;$

$\boxed { \bold { \red {\therefore \;Distance = 8 \; units}}}$

$\; \; \;$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\; \; \;$

2) Using Distance formula

$\; \; \;$

• Distance of the point (-3,-8) from x-axis means distance of the point (-3,-8) from (-3,0).

$\; \; \;$

$\bold { :\implies D = \sqrt{(x-a)^{2} + (y-b)^{2} } }$

$\bold { :\implies D = \sqrt{(-3-(-3))^{2} + (-8-0)^{2} } }$

$\bold { :\implies D = \sqrt{(-3+3)^{2} + (-8)^{2} } }$

$\bold { :\implies D = \sqrt{(-8)^{2} } }$

$\bold { :\implies D = \sqrt{64 } }$

$\bold { :\implies D = 8 \; units }$

$\; \; \;$

$\boxed { \bold { \red {\therefore \;Distance = 8 \; units}}}$

$\; \; \;$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\; \; \;$

$\boxed { \boxed { \bold {\therefore \;Distance\; of\; point\; from \; x-axis = 8 \; units}}}$

$\; \; \;$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Hope this helps u.../

【Brainly Advisor】