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Y_Kistochka [10]
3 years ago
8

Tiana is on a 25-foot ladder that is leaning against her house. Its base is 7 feet from the base of the house. The ladder slips

so that the base of the ladder is 8 feet farther from the house. How far did the top of the ladder move down the wall?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0

Answer:

4 ft downwards

Step-by-step explanation:

old height off the ground :

7^2+b^2=25^2

49+b^2=625

b^2=576

b=24

new height off the ground :

7+8=15

15^2+ b^2 =25^2

225+b^2 = 625

b^2 = 400

b=20

difference between heights :

24 - 20 =  4

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If we take 1200 as the 100%, how much percentage is 700 of it?

well \bf \begin{array}{ccllll}
amount&\%\\
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\\\\\\
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so, (175/3)% or roughly 58.3%

now, how much is (175/3)% of 15000 ?
well, if we take 15000 as the 100%
then   \bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
15000&100\\
x&\frac{175}{3}
\end{array}\implies \cfrac{15000}{x}=\cfrac{100}{\frac{175}{3}}
\\\\\\
\cfrac{15000\cdot \frac{175}{3}}{100}=x\implies \cfrac{5000\cdot 175}{100}=x
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3 years ago
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