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A 12 foot ladder is set up 5 feet from the base of a building.How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot

Respuesta :

Answer:

about 10.9 feet

Step-by-step explanation:

Using the Pythagorean Theorem:

[tex] {h}^{2} + {5}^{2} = {12}^{2} [/tex]

[tex] {h}^{2} + 25 = 144[/tex]

[tex] {h}^{2} = 119[/tex]

[tex]h = 10.9[/tex]

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