SOLUTION: A 26​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 24 feet from the base of the building. How hi

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Question 1045607: A 26​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 24 feet from the base of the building. How high up the wall does the ladder​ reach?
Found 2 solutions by advanced_Learner, ikleyn:
Answer by advanced_Learner(501) About Me  (Show Source):
Answer by ikleyn(52817) About Me  (Show Source):
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A 26​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder
standing on level ground 24 feet from the base of the building. How high up the wall does the ladder​ reach?
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x%5E2 + 24%5E2 = 26%5E2  --->

x%5E2 = 26%5E2-24%5E2 = (26-24)*(26+24) = 2*50 = 100.

x = sqrt%28100%29 = 10 feet.

Answer.  10 feet.