Answer:
h = 11.61 foot
Step-by-step explanation:
Given that,
The length of a ladder, l = 12 foot
The bottom of the ladder is 3 ft from the house.
We need to find how high does the top of the ladder reach. Let it is h. The length of the ladder will be the hypotenuse. 3 ft will be the base. So,
[tex]12^2=3^2+h^2\\\\h^2=144-9\\\\h=11.61\ \text{foot}[/tex]
So, the top of the ladder is at a height of [tex]11.61\ \text{foot}[/tex].
