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djyliett [7]
2 years ago
5

Gerry plans to place a 29 foot ladder against the side of his house to clean his gutters. The bottom of the ladder will be 3 fee

t from the house. How far up the side of the house will the ladder reach (in ft)?
Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
5 0

Answer:

8\sqrt{13}

Step-by-step explanation:

Using the pythagorean theorem (Assuming the house's walls are perpindicular to the ground):

a^2+b^2=c^2

we can find that 3=a and 29=c

3^2+b^2=29^2

9+b^2=841

b^2=832

b=\sqrt{832}

b=\sqrt{64*13}

b=8\sqrt{13}

That is the height that the ladder will reach

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