Answer:
11.12 feet
Step-by-step 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.
[tex]h = \sqrt{ {12}^{2} - {4.5}^{2} } \\ = \sqrt{144 - 20.25} \\ = \sqrt{123.75} \\ = 11.1242977 \\ h\approx \: 11.12 \: feet[/tex]
