The base of a 40 foot ladder is 8 feet from the wall how high is the ladder on the wall

Therefore, height of the wall at which the ladder is placed is AB = 39.12 foot.

Step-by-step explanation:

Let,

AB = height of the wall at which the ladder is placed

AC = height of the ladder = 40 foot

BC = distance from the wall to the base of the ladder = 8 feet

To Find:

AB = height of the wall at which the ladder is placed = ?

Solution:

Consider a right angled triangle Δ ABC right angle at angle B,

So by Pythagoras theorem we have

AC² = AB² + BC²

Substituting the given values in above equation we get

40² = AB² + 8²

∴ AB² = 40² - 8²

∴ AB² = 1536

Therefore, height of the wall at which the ladder is placed is AB = 39.12 foot.

answer: 4

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is