A ladder 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?

Respuesta :

Answer:

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 = [tex]\dfrac{\textrm height of ladder up wall}{\textrm distance of base of ladder from wall}[/tex]

Or, x = [tex]\dfrac{2 meters}{0.4 meters}[/tex]

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