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17-11-2020
Mathematics

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John puts the base of a 13 foot ladder 4 feet from the wall of his house. How far up the wall does the ladder reach? Round your answer to two decimal places.

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17-11-2020

Answer:

12.04 feet

Step-by-step explanation:

Applying Pythagoras theorem,

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

[tex]13^{2} =4^{2} + c^{2}[/tex]

[tex]c^{2} = 145[/tex]

c=[tex]\sqrt{145}[/tex]

c=12.04

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