Question

a 12ft ladder leans against a wall. the base of the ladder is 4.5ft away from the wall. how high up the wall is the top of the ladder?

Answer 1

11.12 feet

Explanation:

Here, ladder is making a right triangle with the wall and ladder is acting as hypotenuse. Thus by using Pythagoras theorem:

Let ladder is h feet high up the wall.

`h = \sqrt{ {12}^(2) - {4.5}^(2) } \\ = √(144 - 20.25) \\ = √(123.75) \\ = 11.1242977 \\ h\approx \: 11.12 \: feet`