# Math Help - Two Ladders

Two ladders are leaned against a wall such that they make the same angle with the ground. The 10' ladder reaches 8' up the wall. How much further up the wall does the 18' ladder reach?

2. Originally Posted by symmetry
Two ladders are leaned against a wall such that they make the same angle with the ground. The 10' ladder reaches 8' up the wall. How much further up the wall does the 18' ladder reach?
Hello,

you are dealing with two similar right triangles. (see attachment).

Set up the proportion:

$\frac{x}{8}=\frac{18}{10} \Longrightarrow x=\frac{18 \cdot 8}{10} =\frac{144}{10}=14.4'$

EB

3. Originally Posted by earboth
Hello,

you are dealing with two similar right triangles. (see attachment).
You don't need the assumption that the wall is perpendicular, just that
it is flat.

RonL

4. ## ok

To Ron,

Why did you reply to this question if you are having problems with my questions being posted here?

5. Originally Posted by symmetry