Answer:
8[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Using the pythagorean theorem (Assuming the house's walls are perpindicular to the ground):
a^2+b^2=c^2
we can find that 3=a and 29=c
3^2+b^2=29^2
9+b^2=841
b^2=832
b=[tex]\sqrt{832}[/tex]
b=[tex]\sqrt{64*13}[/tex]
b=8[tex]\sqrt{13}[/tex]
That is the height that the ladder will reach