Question 369111
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Hi,
Let x represent the length up the wall. Then ladder length would be (x+3)
applying the Pythagorean Theorem
9^2 + x^2 = (x+3)^2
81 + x^2 = x^2 + 6x + 9
72 = 6x
12 = x, length up the wall the ladder reaches
checkingour answer
81 + 144 =  225 = 15^2