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geometry senior
Problem
A foot ladder is placed against a vertical wall of a building. The foot of the ladder is feet from the base of the building. If the top of the ladder slips feet, then the foot of the ladder will slide:
(A)
(B)
(C)
(D)
Solution
By the Pythagorean triple , the point where the ladder meets the wall is feet above the ground. When the ladder slides, it becomes feet above the ground. By the Pythagorean triple, The foot of the ladder is now feet from the building. Thus, it slides .
Final answer
D