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a 15 ft ladder is leaning against a building. If the bottom of the ladder is 9 ft from the base of the building, how high does the ladder reach
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this is solvable by pythagoras' theorem, in this case the hypotenuse of rt angld triangle is the ladder so 15^2 = 9^2 + h^2 where h is what you require
The answer is 12 ft but I dont know how the instructor got that
Use the pythagorean theorem \[15^{2} = h ^{2}+9 ^{2}\] \[h = \sqrt{15^{2}-9^{2}} = 12\]
thank you
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