An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ}

with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer 1

The ladder and the outside wall form a right triangle

The length of the ladder is 97.8 feet

How to determine the length of the ladder?

The given parameters are:

Distance (B) = 22 feet

Angle of elevation (θ) = 77 degrees

The length (L) of the ladder is calculated using the following cosine ratio

cos(θ) = B/L

So, we have:

cos(77) = 22/L

Make L the subject

L = 22/cos(77)

Evaluate the product

L = 97.8

Hence, the length of the ladder is 97.8 feet

Read more about right triangles at:

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Related Questions

what is the approximate diameter of a sphere with a volume of 268cm^3

A. 12cm
B. 8cm
C. 16cm
D. 4cm

Answers

Answer:

B it is the right answer

Step-by-step explanation:

You are shopping at a dvd store and have $49.50 to spend each dvd cost $4.25 estimate how many dvds you buy.

Answers

Answer:

You can get 11 dvds

What is 7/8 - 1/4 in simplest form?

Answers

Answer: 5/8

Step-by-step explanation:

You could convert 1/4 to 2/8 because the numbers you're subtracting have a common factor of 2. After subtracting 2/8 from 7/8, you're left with 5/8.

Answer:

7/8 - 1/4 = 5/8

Step-by-step explanation:

The equation is 7/8 - 1/4 = ?

So you need to have a common denominator for both fractions in order to subtract the two.

In order to make 7/8 and 1/4 have a common denominator, multiply 1/4 by 2. Then it becomes 2/8.

Now you can subtract the two fractions because they both have a common denominator.

7/8 - 2/8 = 5/8

The circumference of a circle is 94.2 kilometers. What is the circle's diameter?

Answers

Answer:

The diameter would be 29.98 kilometers.

Step-by-step explanation:

We know that our circumference is pi * diameter, so we just have to divide 94.2 by pi to solve.

Answer:

30 km

Step-by-step explanation:

We can use the below formula to find the diameter of a circle.

C = π × d

Here,

C ⇒ circumference ⇒ 94.2 km

d ⇒ diameter

To find the diameter make d as the subject in the above formula.

d = C / π

d = 94.2 / 3.14

d = 30 km

Help me pleaseeeeeeeeeeeeeeee

Answers

Answer:

x=1

Step-by-step explanation:

since one y is positive and the other is negative, they cancel eachother out,    making 3x=3. 3/3=1


A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the red marbles to the blue marbles?

A) 3/5

B) 3/8

C) 5/3

D) 5/8

Answers

Total red = 5

Total blue = 3


Ratio of red to blue = 5/3


answer: c. 5/3

Prove algebraically that the difference between the squares of any two consecutive
odd numbers is always a multiple of 8

Answers

Answer:

See below ↓

Step-by-step explanation:

Let the odd integers be :

2x + 12x + 3

Solving

(2x + 3)² - (2x + 1)²4x² + 12x + 9 - 4x² - 4x - 18x + 8 = 8(x + 1)On substituting any value for 'x', the value will be a multiple of x.

Examples

8(1) + 8 = 16 = 8 x 28(2) + 8 = 24 = 8 x 38(3) + 8 = 32 = 8 x 4

Answer:

Let one odd number be (2n + 1)

Therefore, its consecutive odd number is (2n + 3)

Difference between the two squares of these numbers:

[tex]\begin{aligned}\sf (2n+3)^2-(2n+1)^2 & = \sf (4n^2+12n+9)-(4n^2+4n+1)\\ & = \sf4n^2+12n+9-4n^2-4n-1\\ & = \sf 8n+8\\ & = \sf8(n+1)\end{aligned}[/tex]

Thus proving that the difference between the squares of any two consecutive odd numbers is always a multiple of 8.

divide and simplify. − 8/ 15 ÷ − 3/ 5

Answers

-8 / 15 = -0.53333
-3 / 5 = -0.6
-0.53333 / -0.6 = 0.88888333

Is 2mi equal to 3,333 yrds?

Answers

approximately, yes, but 3,333 yards is exactly 1.894 miles.

(Can somebody please help me!) (NO links!)
What do I put!

Answers

Answer:

x = 16angle = 48°

Step-by-step explanation:

The marked angles have a sum of 90°. This lets you find the unknown angle and the value of x.

  42° +3x° = 90°

  3x° = 48° . . . . . . . . . subtract 42°. This is the value of the unknown angle

  x = 16 . . . . . . divide by 3°

__

The value of x is 16.

The measure of the missing angle is 48.

What is 2/5÷2?

A.) 1/5

B.) 2/5

C.) 4/5

D.) 5

Answers

Answer:

A. 1/5

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2}{5}[/tex] times [tex]\frac{1}{2}[/tex]

= [tex]\frac{2}{10}[/tex]

= [tex]\frac{1}{5}[/tex]

hope this helps!

Answer: A.) 1/5

Step-by-step explanation:

When dividing a fraction with a whole number we have to turn that whole number into a fraction as well

[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex]

So now we use the dividing fraction formula: [tex]\frac{a}{b}[/tex] ÷ [tex]\frac{c}{d}[/tex] = [tex]\frac{a*d}{b*c}[/tex]

So we put the numbers in their places: [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2*1}{5*2}[/tex] = [tex]\frac{2}{10}[/tex]

However   [tex]\frac{2}{10}[/tex] simplified is [tex]\frac{1}{5}[/tex]

triangle ABC is similar to triangle DEF. The ratio of the lengths of the corresponding sides of triangle ABC to triangle DEF is 2:3 what is the measure of DF

Answers

The ratio of the lengths of the corresponding sides of triangle ABC to triangle DEF is 2:3, and since side AC is the corresponding side of side DF -> Side DF = 3/2 side AC

-> Side DF = 2.5 x 3/2 = 3.75 cm.

What are the y-intercept and the horizontal asymptote of g(x) = 2x + 7?

(0, 7) ; y = 2
(0, 9) ; y = 2
(0, 2) ; y = 7
(0, 8) ; y = 7

Answers

The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.

It is to detrmine the y-intercept and the horizontal asymptote of g(x) = 2x + 7.

What is a Line?

A line can be defined as it is the shortest distance between two points on the graph called a line. Equation of the y = mx + c, where c is the y-intercept and m is the slope of the line.

The y-intercept of g(x) = 2x + 7 is the y-coordinate of a point where a line, curve, or surface intersects the y-axis i.e. (0, 7).

An asymptote of g(x) = 2x + 7 is a line that a graph approaches without touching i.e. y = 2.

Thus, The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.

Learn more about lines here:

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Identifying Characteristics of Circles from Equations
The equation for a circle is (x + 2)2 + (y – 5)2 = 9.

What is the radius of the circle?
✔ 3
What is the x-coordinate of the circle’s center?
✔ -2
What is the y-coordinate of the circle’s center?
✔ 5
The answers are correct!

Answers

Answer:

Step-by-step explanation:

Through: (-4,-2); slope = 0

Answers

Answer:

y = -2

Step-by-step explanation:

y - y₁ = m (x - x₁)

y + 2 = 0 (x + 4)

y + 2 = 0

Final simplified equation: y = -2

Hope this helps!

Consider the system of equations.

x − 4y = 11,

3x + 5y = −1

Which number should you multiply the first equation by to eliminate the x-variable term?
1
–1
3
–3

Answers

Answer:

-3

Step-by-step explanation:

since if you multiply by -3 the sum of both equations will not have an x variable.

Answer:

D

Step-by-step explanation:

Please solve for X and Y

Answers

CCan you make it visible to see, please!CCan

If f(x) = (x³ + 25), find the inverse of f.

Answers

Answer:

y = ∛x - 25

Step-by-step explanation:

To find the inverse function, swap x and y , and solve the resulting equation for x.

If the initial function is not one-to-one, than there will be more than one inverse.

So, swap the variables: y = x³ + 25 becomes x = y³ + 25

Now solve the equation, x = y³  + 25 for y.

y = ∛x - 25

Drew has a coin: one side shows heads and the other side shows tails. he also has a six-sided number cube with a number, 1 through 6, on each side. he flips the coin, rolls the number cube, and records his results. what is the probability, written as a fraction, that the coin shows tails and he rolls a 5?

Answers

Using it's concept, it is found that the probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, the coin has two outcomes, one of which is tails, while the number cube has six outcomes, one of which is five. Since the coin and the number cube are independent, we just multiply the probabilities, hence:

[tex]p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex]

The probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].

More can be learned about probabilities at https://brainly.com/question/14398287

Find the value of A) 3/5 multiplied by - 2/7, B) - 1/5+-1/3​

Answers

A. -2/7

B. -8/15

hope it helps...!!!

The tree diagram represents an experiment consisting Of two trials. . 3,. 7,. 2,. 8 p(D)

Please help

Answers

Answer:

0.65

.6 x .5 + .7 x .5 = 0.65

Step-by-step explanation:

help it is for calculus

Answers

Answer:

I think 2(x^2−y^2)=3x

Answer:

Its 2(x^2-y^2)=3x

the perimeter of an isosceles triangle is 45 inches. 2 sides of the triangle are congruent and the third side is twice as long as the sum of the congruent sides. what is the length of the third side of the triangle in inches

Answers

Answer:

did this bring a pic because i might need it to answer the question since its not answerable if theres no more details

Step-by-step explanation:

HELP MEEE , need the right answer

Answers

Answer:

A

Step-by-step explanation:

We do the opposite.

Answer: A. c = nv

Step-by-step explanation: This is simple algebra, despite the complicated variables involved. Just think of it as a normal equation.

First, we multiply both sides by v to get rid of c/v. Thus, nv = c. We can switch sides since c also equals nv. So, the answer of c = nv, or A in the multiple choice.

Solve for the missing angle labeled "?".
9) M I
115°
S
U
P
47°
R
Q
A) 47°
B)65°
C) 68°
D)133°

Answers

Answer:

D) 133 degrees.

Step-by-step explanation:

attached as image.


Three times a number increased by 9
is equal to twice the number decreased
by 4. Find the number

Answers

Hello There!!

Let the number be "x"

According To Question

[tex]3x + 9 = 2x - 4[/tex]

Solving It

[tex]3x + 9= 2x - 4 \\ \\ \implies 3x - 2x = - 4 - 9 \\ \\ \implies x = - 13[/tex]

[tex] \therefore \text{the required number is = - 13}[/tex]

Hope this helps

Answer:

- 35

Step-by-step explanation:

let the number be n then increased by 9 is n + 9 and decreased by 4 is n - 4 , so

3(n + 9) = 2(n - 4) ← distribute parenthesis on both sides

3n + 27 = 2n - 8 ( subtract 2n from both sides )

n + 27 = - 8 ( subtract 27 from both sides )

n = - 35

that is the number is - 35

A bicycle wheel has a radius of 1.25 ft. How many feet will the bicycle travel after 75 revolutions? If necessary, round your answer to the nearest foot.

Answers

2.5 bc if u add them up and down u get 2.5

The bicycle will travel approximately 588.75 feet after 75 revolutions. Rounded to the nearest foot, the answer is 589 feet.

What is circumference?

The distance along a circle's perimeter is referred to as its circumference.

The distance traveled by bicycle in one revolution is equal to the circumference of the wheel.

The circumference of a circle is given by the formula:

C = 2πr

where r is the radius of the circle and π is approximately 3.14.

In this case, the radius of the bicycle wheel is 1.25 ft.

Therefore, the circumference of the wheel is:

C = 2π(1.25) = 2.5π ft

After 75 revolutions, the distance traveled by bicycle is:

distance = 75 revolutions × 2.5π ft/revolution

distance = 187.5π ft

Using a calculator, we can approximate π as 3.14 and calculate:

distance ≈ 588.75 ft

Therefore, distance = 589 ft.

To learn more about the circumference;

https://brainly.com/question/12512221

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If a polynomial has a remainder of zero when dividing by x + 3, then x = -3 is a solution of that polynomial.

true or false?

Answers

Answer:

True

this is true there is also another way of thinking of it

Imagine subtracting 3 from both sides so then it will be X= -3

1/2 - 1/12 whats the answer

Answers

Answer:

To subtract or add fractions, we need to find a common denominator.

1/2 can turn into 6/12

so now we have

6/12 - 1/12 =

5/12

Since we cant simplify it, it stays as 5/12

Answer:

[tex]I~am~beinggreat78~and~i'll~help~you![/tex]

The answer is [tex]\frac{5}{12}[/tex], because of the math shown in this image.

In shortest words, the solution to this problem is [tex]\frac{5}{12}[/tex] because 1/2 - 1/12 is [tex]\frac{5}{12}[/tex], which is the simplified, yet unsimplified form. If the picture is blurry, please click the button in the center of the image to zoom in.

Wes wants to buy a new truck. There are 3 models to choose from, each has 4 choices of engine, 3 choices of transmission, 8 color choices, 3 interior color choices, and 5 different options packages to choose from. How many different trucks can be built with all of these choices? (Wes can only pick one option package.)

Answers

Answer:

1440 different trucks

Step-by-step explanation:

Multiply all of the choices for each part:

3 possible bodies * 4 possible engines * 3 possible transmission types * 8 possible colors * 5 possible options packages

And, you get:

3 * 4 * 3 * 8 * 5

= 1440 different trucks

Answer:

4320 trucks

Step-by-step explanation:

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