Answer:
10.95'
Step-by-step explanation:
Pythagorean Theorem ([tex]a^{2} X b^{2} = c^{2}[/tex])
a = 7' base
b = x unknown side height
c = 13' ladder (hypotenuse)
Using are formula:
49 X [tex]x^{2}[/tex] = 169
after subtracting 49 from both sides:
[tex]x^{2}[/tex] = 120
[tex]\sqrt{x} = \sqrt{120}[/tex]
x = 10.95' (round as needed)