A 32-foot ladder leans against a building. The distance between the bottom of the ladder and the base of the building is
8.5 feet. What is the height, in feet, from the ground to the place on the building that the ladder touches? Round your
answer to the nearest tenth.

Answers

Answer 1

Answer:14

Step-by-step explanation:

happy 5685757

Answer 2

The height at which the ladder touches the building is required.

The height of building where the ladder touches the building is 30.9 feet.

Pythagoras theorem

a = Required height

b = Distance between the bottom of the ladder and the base of the building = 8.5 feet

c = Length of ladder = 32 feet

From the Pythagoras theorem we have

[tex]a^2+b^2=c^2\\\Rightarrow a=\sqrt{c^2-b^2}\\\Rightarrow a=\sqrt{32^2-8.5^2}\\\Rightarrow a=30.9\ \text{feet}[/tex]

Learn more about Pythagoras theorem:

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A 32-foot Ladder Leans Against A Building. The Distance Between The Bottom Of The Ladder And The Base

Related Questions

Need help ASAP please and thanks

Answers

Answer:

4,3

Step-by-step explanation:

i think im sure

what is the length of the hypotenuse for a right triangle with legs of length 9 and 40?​

Answers

Answer:

[tex]c = 41[/tex]

Step-by-step explanation:

[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {9}^{2} + {40}^{2} } [/tex]

[tex]c = \sqrt{81 + 1600} [/tex]

[tex]c = \sqrt{1681} [/tex]

[tex]c = 41[/tex]

Answer:

probably c=41

Step-by-step explanation:

which similarity theorem can be used to prove the two triangles below similar ?


A: sss similarity theorem
B. aa similarity theorem
C. sas similarity theorem
D. not similar

Answers

The similarity theorem that proves the two given triangles are similar is: B. AA similarity theorem.

Recall:

The angle-angle similarity theorem (AA) states that if two angles in one triangle are of the same measure with two corresponding angles in another triangle, both triangles are similar to each other.

In the image given:

[tex]\angle F[/tex] in [tex]\triangle ETF[/tex] is congruent to [tex]\angle U[/tex] in [tex]\triangle VTU[/tex] ([tex]\angle F = \angle U = 78[/tex])

[tex]\angle ETF = \angle VTU[/tex] (vertical angles are equal)

This implies that two angles in [tex]\triangle ETF[/tex] are congruent to two corresponding angles in [tex]\triangle VTU[/tex].

Therefore, both triangles can be proven to be similar by the angle-angle similarity theorem (AA).

Learn more about angle-angle similarity theorem (AA) here:

https://brainly.com/question/11289488

What is 1,000=850+0.2p

Answers

Heyy thanks for you question you answer would be P=750
Hope this helps!!

Solve the proportional equation below: m+9/4=m+6/5

Answers

Answer:

0=−21/20

0Step-by-step explanation:

Find the perimeter of AABC with vertices A(1.-6).B(1.-3), and c(-4,-6).

Answers

Answer:

B

Step-by-step explanation:

Where are the black dots located at ?!!

Answers

Answer:

(1,-2) and (6, 3)

Step-by-step explanation:

Hope this helps ^-^

Answer:

-2/1 3/6 or 6/3

Step-by-step explanation:

syoydsgxhxgztisigxugxyxgisy

what is the point-slope form of the equation of the line ?
slope equals 5 passing through (3,7)​

Answers

Answer:

y-7=5(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-7=5(x-3)

me need help whit math

Answers

Answer:

0.39%

hope this helps

the answer would be A.....

Please help it emergency I will mark you as brainlist please help

Answers

Answer:

I cant tell if you need help with the problem, or if this is a life or death emergency.

Answer:

The area of the polynomial is 35 square unit.

Step-by-step explanation:

It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2)

From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7

The distance formula

Using the above formula we get,

The length of opposing sides are equal

Using the Pythagoras theorem, the length of diagonal WY and XZ are

Since the length of the diagonal are same, therefore the given polygon is a rectangle.

The area of a rectangle is

Where l is length and w is width.

The area of given polynomial is

Therefore the area of the polynomial is 35 square unit.

What is the first step in evaluating the expression (5 + 8 ÷ 4 × 3)^2 − 7?

Answers

should solve inside the parentheses first
P
E
M
D
A
S Use this hopes this helps you

I need to evaluate h(3)

Answers

Answer:

h(3) = - 1

Step-by-step explanation:

To evaluate h(3), that is x = 3 in the interval x ≥ 1 , then

h(x) = - x + 2 , thus

h(3) = - 3 + 2 = - 1

Then h(3) = - 1

I’m super confused on this problem PLEASE HELP!

Answers

Answer:

D

Step-by-step explanation:

D is the only one that makes sense

How many times does 4 go into 7

Answers

Answer:

once

Step-by-step explanation:

Answer:1.75

ep-by-step explanation:7 divided by 4=1.75


F

a
If
F
=
72
when
a
=
9
find,
F
when
a
=
7

Answers

Answer:

56

Step-by-step explanation:

F ∝ a

72 ∝ 9   write this using = :

72 = k9  find k

72/9 = 8

so: if a is 7

7 x 8 = 56

what is the solution to the system y= 2x-3 y= -x+3

Answers

You would have to step up your problem like this 2x-3=-x+3, then you add -x to both sides. So, the problem will look like this 3x-3=3 then add to both sides. The ending problem will look like this 3x=6 then divide 3 to both sides then your answer is 2! Hopefully this is correct!

Boris chosen three different numbers. The sum of the numbers is 36. One of the numbers is a cube number the other two numbers are factors of 20. Find the three numbers chosen by Boris. Write the numbers in ascending order

Answers

Answer:

27,4,5

Step-by-step explanation:

27³=3

4×5=20

27+4+5=36

What does
$8 -$6 +$8 -$3
Equal?

Answers

Answer:

$8-$6+$8-$3=$7

hope this helps have a good day or night:)

Which operation should go in the blue spot to make this equation true?
-18
-3/4 = 24
оа
Ob
Ос
Muliplication
Division
Addition

Answers

Answer:

Multiplication (Option A)

Step-by-step explanation: Please brainliest if correct!

Step-by-step explanation:

Expand & simplify 4 ( g + 2 ) − 2 ( g − 6 )

Answers

Answer:

2g+20

Step-by-step explanation:

multiply the 4 by whats in the parenthasis. and multiply the negative 2 by whats in the parenthasis. combine the like terms.

I know it's very trifling of me to ask this but, I do not understand. If can so much as help me with just a few that would save me a lot.

Answers

Answer:

Percent increase

1. [tex]60[/tex] %

2. [tex]50[/tex] %

3. [tex]74.42[/tex] %

4. [tex]11.46[/tex] %

5. [tex]220[/tex] %

Step-by-step explanation:

1. $5 to $8

[tex]\frac{8-5}{5} * 100 = 60[/tex] %

2. From 20 students to 30 students

[tex]\frac{30-20}{20} * 100 = 50[/tex] %

3. From 86 books to 150 books

[tex]\frac{150-86}{86} * 100 = 74.42[/tex] %

4. From $3.49 to $ 3.89

[tex]\frac{3.89-3.49}{3.49} * 100 = 11.46[/tex] %

5. From 5 mile to 16 mile

[tex]\frac{16-5}{5} * 100 = 220[/tex] %

Given ---AB || ---RS Prove: QA/QR = QB/QS

Answers

2. Reflective property
3. Corresponding angles are congruent
4. Angle side angle ?
5. ?

The prove for QA/QR = QB/QS is shown below.

What is Similarity of Triangles?

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

1) Given

2) <Q is congruent to <Q

by reflexive property of congruence

3) <QBA is congruent to <QSR

by alternate interior angles theorem

4) Triangle QBA is similar to triangle QSR

by AA theorem

5) QA/QR=QB/QS

by CPSP (corresponding parts of similar polygons are proportional)

Learn more about Similarity here:

https://brainly.com/question/26451866

#SPJ7

CORRECT ONE GETS BRAINLIEST!!!!!!​

Answers

Answer:

CD = 11 units

Step-by-step explanation:

See the drawing attached

GivenC is midpoint of ABB is between A and DAD = 15BD = 7Find CDSolutionCD = CB + BD = 1/2AB + BD = 1/2(AD - BD) + BD =1/2(15 - 7) + 7 =1/2(8) + 7 =4 + 7 =11

Please help me outttttttttt

Answers

Answer:

Angle F ~ Angle T. FG ~ ST. FE ~ TR.

Step-by-step explanation:

Answer:

<f=<t FG=TS FE=TR

Step-by-step explanation:

hope this helps

6 ponds of candy cost $22.44 what is the cost of one pound?

Answers

$3.74 because you have to divide

HELP I NEED HELP ASAP

Answers

the answer is for your question is B

Please help this is due today

Answers

Answer:

A (13 units)

and E (the one you chose)

Step-by-step explanation:

10 +(10 + (10 - 5)2)
+ 6​

Answers

Answer:

36

Step-by-step explanation:

PEMDAS

Step-by-step explanation:

10+(10+(10-5)2)+6

=10+(10+5)2)+6

=10+(20+10)+6

=10+30+6

=46

George recorded the temperature of a liquid during science class.
Recorded temperatures (°C):37, 37, 42, 42, 42
Which measure of center best summarizes the temperatures and what is the value of this chosen measure?
Move a word and a value to complete the sentences.
The best measure of center for this data is the
The value of this measure of center is
mean
median
37
39.5
40

Answers

Answer: median and 42!

Step-by-step explanation:

PLEASE HELP! WILL MARK BRANLIEST
A university has 34,590 students. In a random sample of 165 students, 11 speak three or more languages. Predict the number of students at the university who speak three or more languages.



The expected number of students at the university who speak three or more languages is____

Answers

11/165 = x/34590
165x = 380490
x=2306
The expected number of students at the university who speak three or more languages is 2,306.
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