You are remodeling a

$23-$foot$-$wide $(7010-$mm$)$

attic beneath a roof at

$\frac{8}{12}$ pitch. How wide a

room can you create

between new walls that are

$5^{\text{'}}-O^{\text{'}\text{'}}(1524mm)$ high?

Show calculations.

If you made the room in the problem above ${11}^{\text{'}}(3353mm)$ wide,

how high would the walls be$?$ Show calculations.

What is the widest balcony

that can be built in the

building shown to the right

while maintaining a minimum

headroom above the

balcony of $6\text{'}-6"(1420$

mm $)?$ Show calculations.