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Answer:
28 feet.
Step-by-step explanation:
The ladder forms a right-triangular shape with the building.
The hypotenuse of the triangle = 53 feet
The height of the triangle = 45 feet
The base of the triangle = ?
According to Pythagorean theorem;
Hypotenuse squared = base squared + height squared
∴ base squared = hypotenuse squared - height squared = 53² - 45² = 784
base length = [tex]\sqrt{784}[/tex] = 28 feet.
So the ladder should be placed 28 feet away from the building.