While shopping at his local home improvement store, Chen noticed that the directions for an extension ladder state, “This ladder is most stable when used at a 60° angle with the ground.” He wants to buy a ladder to paint a two-story house. How long does his ladder need to be in order to reach the top of the house if the house is 27 feet tall?

Answers

Answer 1

The length of the ladder needed to reach the top of the house is 31.2 feet.

Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.

Let d represent the length of the ladder. Using trigonometric ratio:

[tex]sin(60)=\frac{27}{d} \\\\d=\frac{27}{sin(60)} =31.2\ feet[/tex]

The length of the ladder needed to reach the top of the house is 31.2 feet.

Find out more at: https://brainly.com/question/4326804


Related Questions

What is the volume of the prism?
cubic units

Answers

You my 5+5 bc ~+34=7
21 because 7x3 is 21

Which table matches the equation y= 8x + 20

Answers

Answer:

The first table

Step-by-step explanation:

x         y

7         76

10      100

13       124

16      148

HOPE THIS HELPS :)

The answer is 20 I had this question


A. (4,1)
B.(-2,8)
C.(8,-2)
D.(-1,4)

Answers

Answer:

i think B is answer

Step-by-step explanation:

0.5x+9 = -3x+2

x = -2

y = -3x+2

y = -3(-2) +2

y = 6+2

y = 8

(x,y) = (-2,8)

B is the answer for sure fo sure

7/24*5/14*16/25
PLS HELP!!!!!!!

Answers

7/24*5/14*16*25= 1/15

if f(x) = 2x^2 +1 and g(x) = 3x-2 what is the value of f(g(x))

Answers

Answer:

18x² - 24x + 9

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x) , that is

f3x - 2)

= 2(3x - 2)²+ 1 ← expand factor using FOIL

= 2(9x² - 12x + 4) + 1 ← distribute parenthesis by 2

= 18x² - 24x + 8 + 1

= 18x² - 24x + 9

The table below shows a correct representation that 15 pounds (lb) of sugar cost $3:

A. True

B. False

Answers

Answer:

A True

Step-by-step explanation:

Can i get some help :

Answers

The store owner is adding cost, so we will use addition. The answers should be as follows:

[] c + $3.49 = $9.84

[] c = $6.35 <- subtract $3.49 from both sides of the equation

[] Solution of answer represents the old cost of the toy.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Can someone help me please

Answers

Answer:i dont know 1

2. variable

3. terms

Step-by-step explanation:

A class is putting ornaments on a Christmas tree.
One box of 30 ornaments cost $6.99. How
much does one ornament cost? (round to the
nearest cent)

Answers

Answer:

each ornament was about 5 cents

Step-by-step explanation:

Hope this helps

May I get Braineist pls

original price: $2.00
discount: 31%
tax: 3%​

Answers

Answer:

is this a questions or no?

Step-by-step explanation:

Plsssss help me this needs to be done ASAPPP

Answers

Answer:

6 and 3

Step-by-step explanation:

Mutiply and will get your aswer correct

Help, please!

fdlksjflksdjklfjalk

Answers

Answer:

m/_a = 8 , m/_b= 3, m/_c = 4

i have a very hard question,

what is 1+2

please help asap

Answers

Answer:

The answer is 3.

Step-by-step explanation:

What is the name of this?

Answers

Answer:

Circumference of a circle

2* pi* radius which is the circumference of the circle

Ann and Betty shared a sum of money in the ratio 2:3 respectively. Ann Received $120. What was Betty’s share?

Answers

Answer:

A:B::2:3

123:x

set up as fractions:

[tex]\frac{2}{3}[/tex]   [tex]\frac{120}{x}[/tex]   120*3=360

360/2=180

Betty Received $180

Which number sentence is not true?

101 < 100
101 = 0
|-100[< 101
1-100] > [0]

Answers

The first one & the second one

Answer:

Both first and second one are not true.

Step-by-step explanation:

The first one translates to "101 is less than 100". This statement is false.

Second one translates to " 101 is equal to 0". Obviously, this isn't true.

Hope this helps! Brainliest would be appreciated!!

How to to it with step by step explanation

Answers

[tex]15^{5} \div 15 ^{7} [/tex]

Whenever the bases are same, powers are different and there is a division sign between them, The powers are subtracted.[tex]a ^{m} \div a ^{n} = a ^{m - n} [/tex]

[tex]15 ^{ 5 - 7} [/tex]

[tex]15 ^{ - 2} [/tex]

[tex] \tt \: alternate \: from : \\ \frac{1}{15 ^{2} } [/tex]

If the radius of a circle is ‘r’ units, which of the following is its circumference? *​

Answers

Answer:

2πr

Explanation:

The area of the unit circle is π (in general πr2 where r is the radius).

Triangle J K L is shown. Point M is the midpoint of side K L and point J is the midpoint of side J L. The length of K J is 12. 8 meters, the lengths of J N and N L are 3. 7 meters, and the lengths of K M and M L are 5. 9 meters. Which statements about triangle JKL are true? Select two options. M is the midpoint of line segment KJ. N is the midpoint of line segment JL. MN = One-halfKJ MN = 4. 4m MN = ML.

Answers

The true statements are: M is the midpoint of line segment KJ and N is the midpoint of line segment JL

The given parameters are:

[tex]KJ = 12.8m[/tex]

[tex]JL = 7.4m[/tex]

[tex]KL = 11.8m[/tex]

From the figure (see attachment), we have the following highlights

Either sides of point M on line segment KL is 5.9 metersEither sides of point N on line segment JL is 3.7 meters

The midpoint of a line segment divides the line segment into equal halves.

Read more about midpoints at:

https://brainly.com/question/4363233

Answer:

Correct answer is A & B on edge

Step-by-step explanation:

HELLO EVERYONE


WHAT IS THIS ANSWER??? ANYONE KNOW? i need help on this question. it is kinda confusing but if anyone knows pls txt back to this post. thank you so much and have a good day.​

Answers

Answer: The volume of this cylinder is 2389.18 cubic cm, and the surface area is 1000.6 square cm.

help me please brainlist if right​

Answers

Step-by-step explanation:

1B.) Zero power rule

C.) 1

2B.) Product of powers rule

C.) y^(7+11) = y^18

3B.) Quotient of powers rule

C.) b^(18-5) =b^13

4B.) Power of a power rule

C.) 3^(2×2) =3^4= 81

5B.) None

C.) 729

is y = 2/3x - 7 proportional or not?

Answers

Answer: No, it is not a direct proportion equation

Explanation:

Direct proportions are always in the form [tex]y = kx[/tex] where k is any nonzero real number. So for example, we could have the equation [tex]y = 9x[/tex]. The y intercept of any direct proportion is always zero. Visually, such equations will go through the origin.

Something like [tex]y = \frac{2}{3}x-7[/tex] has a y intercept of -7 and it doesn't fit the form [tex]y = kx[/tex], so it's not a direct proportion equation.

Alberta is going to take a 2-hour-26-minute flight from Chicago, Illinois, to
Denver, Colorado, that leaves at 11:49 a.m. Chicago time. If Illinois is in the
central time zone and Colorado is in the mountain time zone, what will be the
local time in Denver when the flight arrives?
Use the following to help you answer the question
12:00 p.m. eastern time = 11:00 a.m. central time = 10:00 a.m. mountain
time = 9:00 a.m. Pacific time.
A. 12:15 p.m.
B. 2:15 p.m.
C. 1:15 p.m.
D. 11:15 a.m.
SUBMIT

Answers

Answer: 1:15pm

Step-by-step explanation:

These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two blue marbles if the first one is placed back in

Answers

Answer:

2/9

Step-by-step explanation:

I need help on this question
3n + 2 = 17

Answers

Answer:

The value of n is 5.

Step-by-step explanation:

Concept :

Here, we will use the below following steps to find a solution using the transposition method:

Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.

Solution :

By using the transposition method. we get,

[tex]{\dashrightarrow{\tt{3n + 2 = 17}}}[/tex]

[tex]{\dashrightarrow{\tt{3n= 17 - 2}}}[/tex]

[tex]{\dashrightarrow{\tt{3n= 15}}}[/tex]

[tex]{\dashrightarrow{\tt{n= 15 \div 3}}}[/tex]

[tex]{\dashrightarrow{\tt{n= \dfrac{15}{3}}}}[/tex]

[tex]{\dashrightarrow{\tt{n= \cancel{\dfrac{15}{3}}}}}[/tex]

[tex]{\dashrightarrow{\underline{\boxed{\tt{\red{n= 5}}}}}}[/tex]

Hence, the value of n is 5.

[tex]\rule{300}{1.5}[/tex]

Question:-

Solve : 3n + 2 = 17

Answer:-

n = 5

Explanation:-

=> 3n + 2 = 17

=> 3n = 17-2

=> 3n = 15

=> n = 15/3

=> n = 5

if sarah works 40 hours a week and earns 660 dollars per payroll. how much does she make an hour

Answers

Answer:16.50

Step-by-step explanation: hope it helps

Answer:

16.50

Step-by-step explanation:

Can someone help me with this
giving out brainliest

Answers

Answer:

C

Step-by-step explanation:

Step 1: plot your 2 known points, (-2,3) and (1,0)

Step 2: after that, you should see that your y value should be a - and your x a +. You can eliminate A and B.

Step 3: check to see if C is a correct answer, (4,-3)

C is the answer, hope that helps

4 5/6 x 3/10
simplify the answer completely and change it to a mix number

Answers

Step-by-step explanation:

4+5/6*3/10

29/6*3/10

=87/60

=29/20

=1 9/20

We have :   [tex]4\frac{5}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{20}[/tex] = [tex]1\frac{9}{20}[/tex]

ANSWER:   [tex]1\frac{9}{20}[/tex]

Ok done. Thank to me :>

Help please, I don't know how to get the measurements for the angles.

Answers

the only one i could figure out was that q= 24 and i think r=48

A line has a slope of 0 and passes through the point (10, 2). What is its equation in slope intercept form?

Answers

Answer:

y = 10

Step-by-step explanation:

y = m x + C, where m is the slope and c is the intercept on the y axis. Plugging in the values of m and C, we get: y = 0 x + 10 = 0 + 10 = 10. Therefore, y = 10.

The equation of line that passes through the point P ( 10 , 2 ) and has a slope of 0 is y = 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the point be represented as P ( 10 , 2 )

And ,let the slope of the line be m = 0

Slope m = 0

Now , the equation of line is given by the formula y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 2 = 0 ( x - 10 )

On simplifying the equation , we get

y - 2 = 0

Adding 2 on both sides of the equation , we get

y = 2

Therefore , the value of A is y = 2

Hence , the equation of line is y = 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Other Questions
is there any similarities between radicalism and Conservativism For f(x) = 2(6)*, find y when x=2.f(2)= Explain ONE historical situation in the period 1450-1750, other than the one illustrated in the passage, in which states experienced environmental impact. Which correlation coefficient best matches the graph? WHAT IS FIRST AID WEBINAR Which prosses uses a die and press to form parts how does the authorprove the character is upset The table represents a function. X y 1 0 2 3 3 4 5 6 complete the statement by selecting from the drop-down menu. The rate of change in the function y=2x+5 is choose. The rate of change of the function represented in the table. How do you multiply a fraction and a whole number? Please explain step by step to get marked as brainliest! what do solid and gas-particle have in common? (not liquid ) 1. Which of the following lists the steps in filling a Supreme Court vacancy?A. The nominee is questioned by the Supreme Court and then by the House B. The individual is nominated by the president and confirmed by the Senate C.The nominee is questioned by the Senate and then by the Senate Judiciary Committee D.The individual is nominated by the Senate and receives the consent of the House, what is junk food ? write any 3 examples The equation of line c is y = 5* - . Line d is parallel to line c and passes through (2, 6).What is the equation of line d?Write the equation in slope-intercept form. Write the numbers in the equation as simplifiedproper fractions, improper fractions, or integers. What was one result of the Bretton Woods system?A. The U.S. dollar became backed by gold for the first time.B. The U.S. dollar was no longer accepted in most countries.C. The U.S. dollar became more valuable and influential. D. The U.S. dollar lost its status as the world's reserve currency. The best word to describe the speaker's attitude toward Virgil is. Has no one had this question, I need help (a) How does the French system of political parties differ from the American system? (b) How do these differences affect the stability of governments under each system? Twoyards of cost $13, and 5 yards of fabric cost $32.50. Which equation relates the cost of the fabric c to its length Considering our current situation, what are the growing challenges of the Philippines in terms of food security? Justify your answers Two differences between Horror and Tragedy: Answer two questions