1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lunna [17]
3 years ago
11

The base of a 11 foot ladder is 2 feet from a building . If the ladder reaches the flat root , how tall is the building ?

Mathematics
2 answers:
Vaselesa [24]3 years ago
8 0
We can utilize the Pythagorean theorem to answer this.

11 is the hypotenuse in this case, and 2 is one of the legs.

11² = 2² + x² =

121 = 4 + x²

117 = x²

√117 = x

Answer = √117

gavmur [86]3 years ago
7 0

Answer:  \sqrt{117} feet or about 10.82 feet.

Step-by-step explanation:

For the given situation , the ladder meeting the ground and the building is making right triangle with them [∵ building is standing vertical to the ground.]  

Then, by Pythagoras theorem of right triangles , we have

l^2=h^2+b^2    (1), where l is ladder's height ,l h is building's height and b is the base .

Given : The base of a 11 foot ladder is 2 feet from a building .

i.e. l = 11 foot and b = 2 foot

Substitute the values in the above formula (1) we get

(11)^2=h^2+(2)^2\\\\\Rightarrow\ 121=h^2+4\\\\\Rightarrow\ h^2=121-4\\\\\Rightarrow\ h^2= 117\\\\\Rightarrow\ h=\sqrt{117}=10.8166538264\approx10.82 \text{ feet}

Hence, the height of building is \sqrt{117} feet or about 10.82 feet.

You might be interested in
Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000. Jason’s sample consiste
Ksenya-84 [330]

Both the sample can be used to make inferences about the population.

The correct option is D.

Given

Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000.

Jason’s sample consisted of 0.24% of the population, while Yolanda’s sample consisted of 0.32% of the population.

<h3>Percentage;</h3>

A percentage is a number or ratio that can be expressed as a fraction of 100.

According to the question

Total number of population = 25000

Percent of a sample of Jason = 0.24%

Percent of the sample of Yolanda's = 0.32%

So, the number of the population according to Jason's sample is given by;

=\dfrac{0.24}{100}\times 25000\\\\=0.24 \times 250\\\\=60

The number of the population according to Yolanda's sample is given by;

=\dfrac{0.32}{100}\times 25000\\\\=0.32 \times 250\\\\=80

Hence, Both the sample can be used to make inferences about the population

To know more about the percentage click the link given below.

brainly.com/question/16216214

5 0
2 years ago
The price of an item is $35 but you have to pay $38.22 what is the sale tax rate?
Vilka [71]
3.22$ because your originally spending 35$ so the added 3.22$ makes up 38.22$
6 0
3 years ago
If 5(x + 7)= -3, then 5x +35= -3
tensa zangetsu [6.8K]
= 5x + 35 = -3
- 35 = -35
5x = -38
/ 5 = / 5
x = -7.6
8 0
3 years ago
(I NEED HELP) The data below shows the scores of some students on a test: 23, 27, 21, 20, 25, 31, 22 Which box-and-whisker plot
Alenkasestr [34]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Could someone help me with this?
Natasha_Volkova [10]
It looks like a 126%angle ok
3 0
3 years ago
Other questions:
  • Jonathan is making his favorite pasta dish his mom ate 2/7 of the pasta his brother ate 1/6 of the pasta how much did they eat i
    7·2 answers
  • 108.94 divided by 8.5
    7·2 answers
  • Solve the equation -1/2 = c-6/7
    15·1 answer
  • Plz help me find 100th term!!!it is on the BOTTOM!
    14·1 answer
  • Mike waits on tables and is paid $2.00 an hour. In a 30-hour period, he earned $310.50 in tips. What were his total earnings
    8·1 answer
  • PLEASE HELP MEEE!! 10 points
    8·1 answer
  • In November mr lees students read 50 books in December they read 40 books what is the percent increase or decrease in the number
    9·2 answers
  • A prism is a three..........shape with the same.........all the way through <br>Fill the gaps
    8·1 answer
  • Someone please saveee meee on this :(
    15·2 answers
  • Identify the growth factor for the following exponential function: y= 2.3(1.32)*
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!