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A 10-foot ladder is learning against wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?

Respuesta :

igoroleshko156

Answer:

[tex]4\sqrt{6} feet[/tex]

Step-by-step explanation:

Step 1:  Make an equation to represent the scenario

[tex]a^2 + b^2 = c^2[/tex]

[tex](2)^2 + b^2 = (10)^2[/tex]

[tex]4 + b^2 - 4 = 100 - 4[/tex]

[tex]b^2 = 96[/tex]

Step 2:  Square root both sides

[tex]\sqrt{b^2} = \sqrt{96}[/tex]

[tex]b = \sqrt{4^2*6}[/tex]

[tex]b=4\sqrt{6}[/tex]

Answer:  [tex]4\sqrt{6} feet[/tex]

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