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

WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

Answers

ANSWER IS Z
........

Determine the equation of the line.

Answers

Answer:

Y = 5x - 10

Step-by-step:

Leave a brainliest if this helped!

-7ab + 6b - 3ab - 4b - 3ab

Answers

the answer is -13ab+2b! hopefully this is right, sorry if it’s not

Please help! What does the clock, rope, and shoe equal?

Answers

Answer:

shoe = 5, clock = 3, rope = 13

Step-by-step explanation:

hope this helped :) i just used guess and check knowing that the shoe is clock+2 hahah

I NEED ANSWER ASAP PLEASE I NEED ANSWER NOW ITS DUE IN 20 MINS

Answers

First : parallel lines

the gym teacher has 13 playground balls for the 4 fourth grade classroom
to share. how many balls will each classroom get

Answers

Answer:

3-4

because 12 ÷4 is 3 but there is 13 so you add 1 ball so in each there is

4 3 3 3

hunter has a jar of 368 nickels and dimes. the total value of coins is $28.40. which system of equations below would be the best to use to find the number of nickels and dimes hunter has?

Answers

Answer:

We can't see your answer choices, but it would be n + d = 368 and .05n + .10d = 28.40

Step-by-step explanation:

n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that hunter has a jar of 368 nickels and dimes.

The total value of coins is $28.40.

We need to find the system of equations below would be the best to use to find the number of nickels and dimes hunter has

The total quantity of nickels and dimes is 328

n+d=368

The value of nickel is 0.05 dollars

The value of dime is 0.10 dollars

0.05n+0.1d=$28.40

Hence, n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Please help me its due tommorow

Answers

Answer:

read below for answers

Step-by-step explanation:

7. 4d + 6 =42

d = 9

8. -3y + 12 = -48

y = 20

9. k/2 + 9 = 30

k = 42

10. g/3 - 7 = 15

g = 66

11. z/5 + 3 = -35

z = -190

12. -9h - 15 = 93

h = -12

13. -3(n + 5) = 12

n = -9

14. -17 + b/8 = 13

b = -32

15. 7( c- 12 ) = -21

c = 9

16. -3 + p/7 = -5

p = -14

17. 46 = -6t - 8

t = -9

Help me with x and z

Answers

Answer:

x = 14

z = 70

Step-by-step explanation:

(10x - 30) + (11x - 84) = 180

x = 14

(10(14) - 30) + z = 180

z = 70

Which graph shows a system of equations with no solutions?

Answers

Answer: We need to see the options

Step-by-step explanation: We need to see the options

Good morning fellow Brainaics.

Please help me with this question.

Answers

Answer:

Veganism :)

Step-by-step explanation:

Step-by-step explanation:

B: Veganism.

but ... how is that mathematics ?

A store manager predicts that 100 hats will be sold if each hat costs $12. The manager predicts that 4 less hats will be sond for every $1 increase in price. For what prices can the manager predict that 60 hats will be sold?

Answers

Answer:

100-60=40

40/4=10

10*$1=$10

$12+$10=$22

Chanel says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: rotate it 90 degrees counterclockwise, and then dilate it by a scale factor of .

Preston says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: reflect it across the x-axis, and then dilate it by a scale factor of .

Answers

Answer:

it changes it by putting it into quadrant 2.

Step-by-step explanation:

(x,y) → (x,-y)

KLMN is an upside down image of PQRS So it was reflected across the x axis and then scaled by 1/2

Preston is correct

suppose y varies directly as x. suppose also that y=34 when x=17. find y when x=56.

Answers

Answer:

  112

Step-by-step explanation:

We can write the equation for the direct variation:

  y = kx

  34 = k(17)

  34/17 = k = 2

Then for the new x-value:

  y = 2(56) = 112

The value of y is 112 when x = 56.

__

Or, we can write the relation as a proportion:

  y/56 = 34/17

  y = 56(34/17) = 112

HELP ME PLEASE, I need help and don’t understand at all !

Answers

okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

abebe is 12 years old and his sister aster is 2 years old. In how years abebe be exactly twice as old as aster​

Answers

Answer:

8 years

Step-by-step explanation:

Currently

Abebe → 12 years old

Aster → 2 years

With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.

Difference in ages

= 12 -2

= 10

Let the age of Aster be x years old when Abebe is twice her age.

Abebe → 2x years old

Aster → x years old

Difference in age

= 2x -x

= x

x= 10

Aster is 10 years old when Abebe is twice her age.

Number of years passed

= 10 -2

= 8

Thus, Abebe will be twice as old as her sister in 8 years.

What is 4/6 divided by 3/12 what is the quotient

Answers

Answer: 8/3, 2 2/3

Step-by-step explanation:

reciprocal of 3/12 is 12/3

soooooo

4/6 x 12/3

which is 48/18

u can divide that by 6

which is 8/3

or 2 2/3

What is the equation for the line described in #9And #10?

Answers

Answer: it is definitely c. y=3x+2

Step-by-step explanation: solve the first equation and then plug in

Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61​

Answers

Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you

Step-by-step explanation:

plss help me with this:(((​

Answers

7 is the slope :) -2 would be the y-intercept

Answer:

11) 7 ( Answer A)

12) (-2) ( Answer D)

Step-by-step explanation:

You can use y = m x + c to answer these questions.

In the equation y = m x + c,

m = slope

c = y - intercept

According to the question,

they have given the equation,

y = 7 x - 2

So, you can replace it with y = m x + c like this.

y = 7 x - 2

    ↑       ↑

    m      c

There fore,

slope = 7

y - intercept = ( - 2)

And now let's write the answers for the question.

11) 7 ( Answer A)

12) (-2) ( Answer D)

Hope this helps you :-)

x^2=x+2
Please solve by factoring
But I’ll take anything honestly

Answers

Answer:

Step-by-step explanation:

[tex]\sf x^2=x+2[/tex]

Subtract x+2 from both sides of the equation:

[tex]\sf x^2-(x+2)=x+2-(x+2)[/tex]

[tex]\sf x2-x-2=0[/tex]

Now, factor left side of equation:

[tex]\sf (x+1)(x-2)=0[/tex]

Set the factors equal to zero:

[tex]\sf x+1=0[/tex]            [tex]\sf x-2=0[/tex]

[tex]\boxed{\sf x=-1}[/tex]            [tex]\boxed{\sf x=2}[/tex]

_____________________________________

f(x) is graphed below. If g(x)=f(x+2)-4, what are the roots of g(x)?

Answers

Answer:

fortnit 90s

Step-by-step explanation:

crank and c until u get too 90 height

Simplify the expression: 4 + 5(2x - 3) - 6x *

16x + 19
-16x -11
4x -9
4x + 9

Answers

Step-by-step explanation:

4+5 (2x-3)-6x

9 (2x-3)-6x

18x-27-6x

12x-27

Answer:

[tex] \sf \: 4x - 11 [/tex]

Step-by-step explanation:

Given expression,

→ 4 + 5(2x - 3) - 6x

Let's simplify the expression,

→ 4 + 5(2x - 3) - 6x

→ 4 + 10x - 15 - 6x

→ (10x - 6x) + (4 - 15)

→ (4x) + (-11)

→ 4x - 11

Hence, the answer is 4x - 11.

A movie theater sold a total of 50 tickets. 23 of the tickets were child tickets, and the rest were adult tickets. What is the ratio of the number of adult tickets to the total number of tickets?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

27/50

Step-by-step explanation:

You would have to subtract 50 and 23 to find out how many adult tickets there was

The m1 is twice m3. The m2 is 20 more than the m3 find m4. See picture for full problem. Please and thank you!

Answers

Answer:

Step-by-step explanation:

Jayden had $43 in his bank account. He wanted to buy a game at GameStop. The game cost $15. He made the purchase.
a) Write an expression to show his purchase activity.

b) How much did he have, after the purchase of the game?

Answers

Answer:

a) 43 - 15

b) 28

43 represents the money he has the game costs $15, subtract 15 from 43 and get $28. After the purchase he now has $28

A rare diamond, valued at $3,750, is gaining value at a rate of 4% each year. The value of a diamond, v, can be found using the equation v=p(1+r)t where p is the original value of the diamond, r is the rate, and t is the number of years the diamond gains value.

How much will the diamond be worth in 6 years?


$4,743.75


$4,744.95


$4,762.50


$4,875.00

Answers

Answer: $4,744.95

Step-by-step explanation:

v=3,750(1+4%) 6th power

what is 1+1 equal to? PLZ explain in 5 sentences.

Answers

Answer:

2

Step-by-step explanation:

1+1 is equal to two. Imagine two objects, a green ball and a red ball. These one and one objects. Now you would want to but it inside a bag when you put it in the bag, someone asks you how many balls are inside the bag. Now count how many balls is in the bag which is 2.

Hope this helps!

Resultado de la operación -2-(5-3)+4

Answers

Answer:

0

Step-by-step explanation:

-2-(5-3)+4

-2-2+4

-4+4

0

Could someone answers these! I Really NEED HELP

Answers

Answer:

(3x + 5) (x - 3)

Step-by-step explanation:

This is the quadratic expression

Other Questions
Before Collision: 2,000 kg 4 m/s 4,000kg 0 m/sAfter collision: 2,000 kg + 4,000kg Vt = ?I will give Brainliest to the first person. Please show work Zachary is going out with his friends to seea movie and shop. He has $32 and themovie will cost $7.25. Write and solve an inequality to find how much moneyZachary can spend shopping. 1.Write an equation that shows the equivalency between meters and Gigameters. which era has had the greatest influence on cosmetology why do i have white spots on my teeth after brushing? Find the whole number equal to the fraction below. Enter your answer in thespace provided. To make cherry trail mix, Sebastin needs 4 oz of nuts for every 3 oz of dried cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of sunflower seeds. Can Sebastin make more cherry trail mix or sunflower trail mix with 20 oz of nuts? Show your work. When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n. There are 20 marbles in a bag. 1/5 are red and others are blue. What is the ratio of red to blue marbles Which of the following is not a characteristic of jazz?. Fred makes $750 a week working 5 days .How much does he make in one day Match each sentence with the appropriate purpose for writing. HELP ME ASAP THANK YOU VERY MUCH why don't elements in a group have consicutive atomic numbers? Yoo what it do I dont know the answer tho Find the unknown side (w) of the rectangular solid. Please help.. Richard wants to paint the top and sides of the block column. What is the surface area he needs to cover?592 sq. ft512 sq. ft960 sq. ft800 sq. ft What is the result of subtracting 4x^2 + 3xy +2y^2 from 5x^2 + 3xy + 6y^2? expand and simplify 3(5x+1)+5(5x-4) 17. The shape of a river is determined by which of the following? (Choose all thatapply)A ErosionB. DepositionC. WeatheringD. water speed