A painter leans a 30 foot ladder against one wall of a house. At what height
does the ladder touch the wall if the foot of the ladder is 10 feet from the base
of the wall?
Answers
Answer:
20ft
Step-by-step explanation:
The height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Consider the diagram below.
We've got:
Length of the ladder = |AC| = 30 ftDistance between ladder's bottom and base of wall = |BC| = 10 ftHeight of wall from base to the point where ladder touches = |AB| is to be known.The wall is usually perpendicular to ground, therefore making 90° angle with it. Thus, ABC is a right angled triangle.
Using Pythagoras theorem in it, we get:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\30^2 = |AB|^2 + 10^2\\|AB|^2 = 900 - 100\\\\|AB|^2 = 800\\\\\text{Taking sq. root of both the sides}\\\\|AB| = \sqrt{800} = \sqrt{ (\pm 20\sqrt{2})^2}\\\\|AB| = \pm 20\sqrt{2} \: \rm ft[/tex]
But as length cannot be a negative quantity, so we get:
[tex]|AB| = 20\sqrt{2} \: \rm ft[/tex]
Thus, the height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.
Learn more about Pythagoras theorem here:
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Answer:
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Step-by-step explanation:
Pull terms out from under the radical, assuming positive real numbers.
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation
have a great day
Answer:
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Step-by-step explanation:
The thing that is true about 3*9 is that it is also equal to 9*3.
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Answers
Answer:
Step-by-step explanation:
J
Answer:
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..........
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Answers
Step-by-step explanation:
[tex] - 4( - 6 + 2) [/tex]
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Translate the phrase twice m increased by 2 is equal to 7 more then m
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Answers
D :)
bye sis see you today
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Answers
Answer:
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Step-by-step explanation:
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2: (-3x^2 + 3x^2) + (5x - 7x) + (2 - 1)
3: 0 - 2x + 1
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Step 1: Given equation
Step 2: Group the terms with similar exponents together
Step 3: Add the terms together
Step 4: Simplify completely
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
m + 10/100(m)
Step-by-step explanation:
Last year there were m members in a photography club.This year the number of members has increased by 10%m + 0.1m represents the number of members in the club this year.So m represents the number of members in the club last year.
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Answers
Answer:
Step-by-step explanation:
The first one
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Answers
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
5 or -5
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
x=1/6
Step-by-step explanation:
The steps are in the picture below
Answer:
Step-by-step explanation:
here you go mate
step 1
3х + 4 = 9x + 3 equation
step 2
3х + 4 = 9x + 3 simplify
-6x+4=3
step 3
−6x+4=3 subtract 4 from both sides
−6x+4(-4)=3(-4)
-6x=-1
step 4
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answer
x=[tex]\frac{1}{6}[/tex]
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Answer:
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Answers
Answer: 100 candy bars
Step-by-step explanation:
You did not include the question but judging by the progression I can assume that the question is along the lines of how many candy bars they will need to sell to reach their target.
You did not include the amount they have to raise as well so let us assume that number is $375.
Assuming they have to raise $375 and they have already raised $125, the amount left to be raised is:
= 375 - 125
= $250
With each candy bar selling at $2.50, the number of candy bars they will need to sell is:
= 250/ 2.50
= 100 candy bars
You should use this process to find the answer to your question.
The length of an island is decreasing a rate of 16 inches per year. How many years will it take for the change in length of the island to be -364 inches? Answer value
Answers
Answer: 23 years
Step-by-step explanation:
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24
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Answers
Answer:
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Step-by-step explanation:
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Answer:
c=0.79s
I hope this helps:
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Answers
Answer:
I think A and B as they both have 27- degree angles
Step-by-step explanation:
I MAY BE WRONG SORRY
