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NikAS [45]
3 years ago
12

a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Answer:

\huge\boxed{7.79 \ \text{feet}}

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

    |        \                  

    |_____\

    4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that a^2+b^2=c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79

Hope this helped!

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Miley is trying to solve the following riddle the sum of three consecutive integers is 84 what are the integers
oee [108]

Answer:

Three consecutive numbers are 27,28,29

Step-by-step explanation:

Given :  The sum of three consecutive integers is 84.

To find : What are the integers?

Solution : Let three consecutive numbers x, x+1, x+2

So, according to given situation 'sum of three consecutive integers is 84'.

x+x+1+x+2=84

\Rightarrow 3x+3=84

\Rightarrow 3x=84-3=81

\Rightarrow x=\frac{81}{3}

\Rightarrow x=27

So,x=27

x+1= 27+1=28

x+2=27+2=29

Therefore, three consecutive numbers are 27,28,29

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grigory [225]
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Hope I helped!

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~ Zoe
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8 0
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brilliants [131]

Answer:

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Read 2 more answers
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