Question

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?

Answer 1

The slope of ladder is not within the safe range .

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 =
`(\textrm height of ladder up wall)/(\textrm distance of base of ladder from wall)`

Or, x =
`(2 meters)/(0.4 meters)`

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