Fabian leans a 18-foot ladder against a wall so that it forms an angle of 69° with the
ground. What's the horizontal distance between the base of the ladder and the wall?
Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer 1

Answer: 16.12 or 16.1

Step-by-step explanation:

Answer 2

The horizontal distance is equal to 6.45ft.

Using trigonometric ratio SOHCAHTOA,

We have the values of

hypothenuse = 18ftangle = 69°Adjacent = ?

Trigonometric Ratio

Using trigonometric ratio to solve this problem,

SOHCAHTOA,

we can easily use the cosine of the angle to find the adjacent side.

[tex]cos\theta = \frac{adjacent}{hypothenuse}\\ cos69 = \frac{adjacent}{18}\\ adjacent = 18cos69\\adjacent = 6.45ft[/tex]

From the calculations above, the horizontal distance is equal to 6.45ft.

Learn more on trigonometric ratio here;

https://brainly.com/question/4326804


Related Questions

GEOMETRY HELP ASAPPPPPPPPPPPP

Answers

the answer is t lol

Answer:

∠F

Step-by-step explanation:

Hope this helped!

Practice Add and Subtract Rationals - Quiz - Level G
Read
4
3
5
2
0
1
- 2
-4
-1
-5
-3
• What is the sum? Complete the equation

Answers

Answer:

0

Step-by-step explanation:

Does (2,1) make the equation y = x + 1 true?

Answers

Answer:

no

Step-by-step explanation:

2=x

1=y (due to axis lines on a chart)

therefore, 1=2+1 (the answer would be 3)

so the overall answer would be false...

please help will give brainliest

Answers

Answer:

1) (0,0)

2)(-2,1)

3)(-4,5)

4)(-1,7)

5)(2,2)

6)(2,-4)

Step-by-step explanation:

Please mark as brain list.


Please help me :((((((

Answers

Step-by-step explanation:

she needs to swap 5.2 for 5.02

since 5.02 is smaller than 5.2

Answer:

5.02 and 5.2

Step-by-step explanation:

5.2 is bigger than 5.02 so 5.2 needs to be at the back and 5.02 in it's place

Just 8 and 9. Must know by November 19.

Answers

Answer:

8.

Jules' Rules:  3/1

Pink Socks: 4/1

Go Girls: 4/1

High-5s: 9/1

9.  High-5s ( best record ) for every 9 games that they played, the team only lost 1 game                            

Step-by-step explanation:

I need help with this ​

Answers

Answer:

10 per attendee

Step-by-step explanation:

if you look right at the end it points at 10

Solve the math problem

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The slope of the given line is Zero as it is parallel to x - axis ~

in the triangle, x=3. find y

Answers

Answer:

9

Step-by-step explanation:

3^3 + 3^3 = 9

James likes to go to the movies. The cost of a matinee showing is $6 and the cost of a night showing is $8. If James spent $86 and went to 12 movies in 1 month, how many matinee showings did James go to?

PLEASE HELP

Answers

Answer:7.1759 repeating the numbers after decimal

Step-by-step explanation:

First, you do 86 divided by 12

12 goes into 86 7 times which gives you 86 - 84 which will leave 2 leftover

Then you drop down the 0 which makes it 20 and 12 goes into 20 which would make it 20 - 12

Then you have 8 leftover and you drop the 0 to make it 80 and 12 goes into 80 7 times which give you 80 - 74 which would give you 6 leftover, then you drop the 0 to make it 60

12 goes into 60 5 times which gives you 60 - 50 and 10 leftover, drop the 0 again to make it 100

12 goes into 100 9 times which gives you 100 - 98, which would leave you with 2 leftover

Then it continues to repeat like that so you put the repeating sign over the numbers after the decimal to show it is repeating

Hope this is a good explanation of what it should look like

He went on 7 movies of matinee showings.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that the cost of a matinee showing is $6 and the cost of a night showing is $8.

We need to find matinee showings did James go to

If James spent $86 and went to 12 movies then;

86/12 = 7.16

He went on 7 movies of matinee showings.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

On your sheet of paper, use long division to find the quotient. 2,805/9

Answers

Answer:

311 Remainder 6

Step-by-step explanation:

Brittany opened a checking account with $50 she received for her birthday. She deposits $5 of her allowance each week. After 12 weeks of saving, what will Brittany's account balance be?​

Answers

Her balance will be $110 after 12 weeks.

If you multiply the $5 she saves a week by the 12 weeks of saving you get $60. You then add the $50 she received for her birthday to get a total of $110 in her account.

There will be $110 after 12 weeks in Brittany's account.

What is Arithmetic Progression?

Arithmetic progression or arithmetic sequence is a sequence of numbers, where the difference between any consecutive numbers will be always a constant.

The constant which is the difference of any two consecutive terms is called common difference, usually denoted by 'd' and the first term is usually denoted by 'a'.

Brittany opened an account with $50 ⇒ a = 50

Each week she added $5 ⇒ d = 5

So the sequence is 50, 55, 60,...

We have to find the nth term where n = 13

nth term of a sequence = a + (n - 1) d

                                       = 50 + (13 - 1) 5

                                       = 50 + 60

                                       = 110

Hence after 12 weeks of saving, Brittany's account balance will be $110.

To learn more on Arithmetic sequence, click

https://brainly.com/question/15412619

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-1/4x2(x – 4)(x + 5) ≤ 13?

Answers

Answer:

x<=-4.73 or -1.66<=   x  <= 1.89 or x>3.5

Step-by-step explanation:

A lot of work ;-;... These answers are shortened versions just so you know like it wasn't exactly -4.73, it was -4.73439122.

Which expression is equivalent to 4÷√8

Answers

Answer:

[tex]\frac{\sqrt{8}}{2}[/tex]

Step-by-step explanation:

[tex]\frac{4}{\sqrt{8\\}}[/tex] ; multiply first by the sqrt(8)/sqrt(8) then simplify

[tex](\frac{4}{\sqrt{8}} )(\frac{\sqrt{8}}{\sqrt{8}})\\[/tex]

= [tex]\frac{4*\sqrt{8}}{(\sqrt{8})^{2} }[/tex]

= [tex]\frac{4*\sqrt{8}}{8}[/tex]

= [tex]\frac{\sqrt{8}}{2}[/tex]

Note: this is the most simplified answer and there could be other possible answers equivalent to [tex]\frac{4}{\sqrt{8}}[/tex]

STOP !! I NEED HELP ON MY HOMEWORK AND ITS DUE TOMORROW. PLEASE HELP ME. THANK YOU

Answers

FIRST QUESTION; 5x $7 + 5 x $5 + 5 x $2; $70

SECOND QUESTION; 4 x $25 + 3 x $15 + $10; $155

50 points and brainliest for the answers (if you answer and dont give me the answers i will report you)

Answers

What do you want the answer to? Once you update your question, I'll edit my answer!!!

Abigail tosses a coin off a bridge into the stream below. The distance, in feet, the coin is above the water is modeled by the equation y = ­-12x^2 + 100x + 112. Where x represents time in seconds. What is the greatest height of the coin? *

Answers

Answer: god

Step-by-step explanation: god is alays right

what is reciprocal of the fraction in the equation 3/5(2x+8)=18?

Answers

9514 1404 393

Answer:

  5/3

Step-by-step explanation:

The reciprocal of any fraction is obtained by swapping the numerator and denominator, turning it "upside down."

  the reciprocal of the fraction 3/5 is 5/3

1/2÷4×6÷1× (-2)??hui

Answers

Answer:

-24

Step-by-step explanation:

[tex]⟹ \frac{1}{2} \div 4 \times 6 \div 1 \times ( - 2) \\ ⇒ \frac{1}{2} \div 24 \times ( - 2) \\ ⇒ \frac{1}{2} \div ( - 48) = -24[/tex]

Which function is the result of translating ƒ(x) = x2 + 14 to the right 5 units and down 6 units?
Question 19 options:

A)

y = (x – 5)2 + 6

B)

y = (x – 5)2 – 6

C)

y = (x – 5)2 + 8

D)

y = (x – 5)2 + 20

Answers

Answer:

c

Step-by-step explanation:

please help! this is due tomorrow!
Mireille has a piece of ribbon that is 10 inches long. Abi’s ribbon is 5/8 as long. How long is Abi’s ribbon?

Answers

Answer:

6.25

Step-by-step explanation:

Which answer best describes how tension typically varies in the plot of a narrative?


There is low tension during the exposition, high tension during the rising action, the highest tension at the climax, low tension in the falling action, and low tension at the resolution.


There is low tension during the exposition, low tension during the rising action, increasing tension at the climax, highest tension at the falling action, and decreasing tension at the resolution.


There is high tension during the exposition, decreasing tension during the rising action, lowest tension at the climax, increasing tension in the falling action, and high tension at the resolution.


There is low tension during the exposition, increasing tension during the rising action, highest tension at the climax, decreasing tension in the falling action, and low tension at the resolution.

Answers

Answer:

Rising action includes the series of events (usually the conflicts or struggles of the protagonist) that increase tension, propel the plot forward, and lead to the climax of the story.

Step-by-step explanation:

Answer:

There is low tension during the exposition, increasing tension during the rising action, highest tension at the climax, decreasing tension in the falling action, and low tension at the resolution.

Step-by-step explanation:

23 x 67 i need to know show work pls

Answers

Answer:

23 x 67

= 1541

Step-by-step explanation:

You just multiply the numbers together.

Step-by-step explanation:

so the result of 23 × 67 is 1541

Linear equation crosses x-axis is called

Answers

Answer:

It is called the x-intercept of the line.

Step-by-step explanation:

It is called the x-intercept of the line when the x-axis, and the y-intercept is the point where the line crosses the y-axis.

How to change Base 2 111 to base 10

Answers

111₂ = 1•2² + 1•2¹ + 1•2⁰

111₂ = 4 + 2 + 1

111₂ = 7

Select the correct function that represents this data

Answers

Answer: A

Sustitute one of the inputs into all of the equations and see if you get the respective output. I will use the point (0,2).

A. f(0)=8(0)+2

     f(0)=2

Option A works!

B. f(0)=8(0)-2

    f(0)=-2

Option B doesn’t work.

C. f(0)=8(0)

     f(0)=0

Option C doesn’t work.

Since option A is the only one that works, the correct function is A.

:)

Plzzz Help it’s due in 15min!!!!! A farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape. He decides to add 2 feet of
fencing to the width of the pen, but the length will remain 9 feet. The new area will be 108 square feet
Which equation can be used to determine the onginal width, w of the pen?

Answers

Answer:

w=10

Step-by-step explanation:

Let original width of pen be w feet.

New width of pen = (w+2) feet

(w+2)×9=108

     w+2=108÷9

            =12

         w=12-2

            =10

Answer:

9(w + 2) = 108

Step-by-step explanation:

A = l * w = 9w

A' = l * w' = 9w' = 9(w + 2) = 108

The original width, w, of the pen was 10 feet. Thus, the original area was 9 * 10 = 90 feet.

The final width was 10 + 2 = 12 feet

12 * 9 = 108

What is the equation of this graphed line?

Enter your answer in slope-intercept form.

Answers

Answer:

y=-1/3x-5

Step-by-step explanation:

can someone please help me out

Answers

Answer:

$838.09

Details:

750.44 after one year.

771.45 after two years.

793.05 after three years.

815.26 after four years.

838.09 after five years.

If f(x) = x2 + 7, what is the equation for f–1(x)?

Answers

Answer:

f-1 (x)

f-1 ×2 +7

f- 2 +7

f = + 5

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