Question

For safety reasons, the base of a 24-foot ladder must be placed at least 8 feet

from the wall. To the nearest tenth of a foot, how high can a 24-foot ladder
safely reach

Answer 1

22.6

Explanation:

c²=a²+b²

24²=8² + x²

576 = 64 + x²

x² = 576 - 64

x² = 512

x = 22.627...

= 22.63 foot

sorry if it's not correct

Answer 2

Explanation:

We can solve this problem using the pythagorean theorem.

What you need to know:

-The hypotenuse is 24.

-One of the bases is 8.

Steps for Solving:

8
`8^(2) + b^(2) = 24^(2) \\\\64 + b^(2) = 576\\\\b^(2) = 576 - 64\\\\b^(2) = 512\\\\b = √(512) \\\\b = 16 √(2) \\\\b = 22.63`

Edit: disregard the 8 infront of b in the final answer. I'm not sure how to fix the typo lol