Question

A 24​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 18 feet from the base of the building. How high up the wall does the ladder​ reach?

Answer 1

The answer is h≈ 16 feet. Hope this helps.

Answer 2

Answer: h≈ 16 feet

Explanation:

All se need to do is to find the height, from the diagram , pythagoras theorem will be applied to fing the height.

Pythagoras theorem states that :

`hypotenus^(2)` =
`opposite^(2)` +
`Adjacent^(2)`

From the diagram , Hypotenus = 24 , the other sides are 18 and the unknown height.

Let the unknown height be h , then by pythagoras theorem

`24^(2)` =
`h^(2)` +
`18^(2)`

576 =
`h^(2)` + 324

colloecting the like terms , we have

`h^(2)` = 576 - 324

`h^(2)` = 252

h =
`√(252)`

h = 15.87

h≈ 16 feet