zaxaopoulos zaxaopoulos

09-11-2021
Mathematics

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painter has a 24-foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet from the base of the side of the house. To the nearest tenth of a foot, how high can the ladder safely reach?

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wcoleman1417 wcoleman1417

09-11-2021

Answer:

this is a pythagorean theorem problem. 24 is the whole ladder, and if you draw it out, is a hypotenuse. 8 is a leg. . so 8^2 + b^2 = 24^2

b^2 = 512, so b = sqrt(512) = 22.6

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