Question

A bricklayer supports a 5 meter ladder. Against a vertical wall. The foot of ther ladder is 3 meters from the wall. Calculate the heigth at which the top of ladder is

Answer 1

4 meters

Explanation:

Let the height at which the top of the ladder is be represented by h. The sketch of the question forms a right angled triangle. So that applying the Pythagoras rule,

`/hyp/^(2)` =
`/Adj 1/^(2)` +
`/Adj 2/^(2)`

`5^(2)` =
`h^(2)` +
`3^(2)`

25 =
`h^(2)` + 9

`h^(2)` = 25 - 9

= 16

⇒ h =
`√(16)`

= 4

Therefore, the height at which the top of ladder is placed is 4 meters.