Answer :
Final answer:
To find the length of the ladder, use the Pythagorean theorem by considering the ladder as the hypotenuse of a right triangle formed with the ground and the house. The length of the ladder is 33 feet.
Explanation:
To find the length of the ladder leaning against the house, we can use the Pythagorean theorem. Since the ladder forms a right triangle with the ground and the side of the house, the length of the ladder is the hypotenuse of the triangle. The formula is: length of ladder = square root ( (distance from house)^2 + (height of ladder)^2 ). Substituting in the given values, the length of the ladder is calculated to be 33 feet.
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