Using Pythagoras theorem, the top of the ladder will slide down the wall 1.64 ft
What length will the ladder slide down the wall?
The ladder leaning against the wall forms a right-angled triangle of sides 8 ft and 6 ft.
The length of the ladder is y.
Using Pythagoras theorem:
[tex]y = \sqrt{8^{2} + 6^{2}} = 10 \:ft[/tex]
When the ladder is pulled 1 foot away from the wall, the new height, h the ladder rises up the wall is given below:
[tex]h = \sqrt{10^{2} - 9^{2}} = 4.36 \:ft[/tex]
The top of the ladder will slide 6 - 4.36 ft = 1.64 ft
In conclusion, the length the ladder will slide down is obtained using Pythagoras theorem.
Learn more about Pythagoras theorem at: https://brainly.com/question/343682
#SPJ1
