Aladder reaches 2m up a wall. the foot of ladder is 0.4m from the wall. for safety reasons, the slope should be between 6.3 and 9.5. is this ladder within the safe range?

The slope of ladder is not within the safe range  .

Step-by-step explanation:

Given as :

The height of the ladder up a wall = h = 2 meters

The distance of base of ladder from the wall = x = 0.4 meters

The estimated safety range of slope of ladder is between 6.3 and 9.5

Let The slope of the ladder = x

According to question

slope of the ladder =

Or, x =

Or, x = 5

So, The slope of the ladder = x = 5

Since The estimated range of slope between 6.3 and 9.5

And The calculate slope of ladder = 5

Hence, The slope of ladder is not within the safe range  . Answer

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0