Final answer:
The base of the ladder should be placed approximately 11 feet from the house.
Step-by-step explanation:
The proper angle for a ladder is about 45 degrees from the ground. To determine how far from the house the base of the ladder should be placed, we can use the trigonometric function of tangent. In this case, let x represent the distance from the house:
tan(45°) = x/11
Simplifying the equation, we have:
x = 11 * tan(45°)
Evaluating the trigonometric function, we find that:
x ≈ 11 feet
Therefore, the base of the ladder should be placed approximately 11 feet from the house.