The Poles of height 6m and 11m standing on a plane ground. If the distance between their feet is 12 m find the distance this tops.

CD=6m

Distance between both poles BD=12 m

Then, create a line segment CE parallel to line BD

So, AE=AB−CD=11−5=6 m

In right angled △AEC,

(AC)

2

=(AE)

2

+(AE)

2

=(12)

2

+(5)

2

=144+25=169

⇒AC=13 m

So, the distance between their tops is 13 m.

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.