An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 23 feet up. The ladder makes an angle of 75^{\circ}

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

Answers

Answer 1

The length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.

The ladder forms a right triangle as it lies against the wall as shown in the image below.

Thus:

x = length of the ladder (hypothenuse)

Reference angle [tex](\theta) = 75^{\circ}[/tex]

25 ft = Opposite

Apply SOH:

Thus,

[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

Plug in the values

[tex]sin(75) = \frac{25}{x}\\\\x = \frac{25}{sin(75)} \\\\\mathbf{x = 25.88}[/tex]

Therefore, the length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.

Learn more here:

https://brainly.com/question/23973168

An Electrician Leans An Extension Ladder Against The Outside Wall Of A House So That It Reaches An Electric
Answer 2

Answer:

x=32.09 feet long

Step-by-step explanation:


Related Questions

The energy needs of an eagle range between 350-600 calories per day. If it gets 120 calories from consuming 1 snake, how many snakes can it have

Answers

Answer:

3- 5 snakes

Step-by-step explanation:

One snake gives 120 calories, so 3 snakes = 360 and 5 snakes = 600 calories.

The eagle can have 3 - 5 snakes per day

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

The required number of snakes is ~

[tex]3 \: \: to \: \: 5 \: \: \: snakes[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Minimum number of snakes that the eagle need to eat to maintain its energy level ~

[tex] \dfrac{350}{120} [/tex]

[tex] \dfrac{35}{12} [/tex]

[tex] \approx3[/tex]

Maximum number of snakes that the eagle should eat to maintain the level of energy ~

[tex] \dfrac{600}{120} [/tex]

[tex]5[/tex]

So,

The Eagle should have 3 - 5 snakes per day ~

Marsha is twice as old as Karli. The sum of their ages seven years ago was 13. How old
are they now?

Answers

Answer:

20

Step-by-step explanation:

the twis old as karli

the sum of their ages 7 years ago

13+7=20

7/12 divided by 3 3/4

Answers

Answer:

The answer is 7/45

Step-by-step explanation:

First you make 3 3 /4 into an improper fraction which becomes 15/4

Next, you do KFC which is keeping 7/12, making the division sign into multiplication, and then finally you flip 15/4 to 4/15.

Your final answer is 7/45

Hope that helped! Can I also get brainliest? I need a few more to advance, if not thank you anyways and have a nice day!!!

Give the x-intercept for the equation 6x + 3y = -9

Answers

Answer:

-9/6 or -3/2

Step-by-step explanation:

To find the x intercept, substitute y = 0 into the equation:

6x + 3(0) = -9

Now simplify,

6x + 0 = -9

6x = -9

x = -9/6 → -3/2

Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead

i need this answered FAST!!! please make sure to show the work!!!!!!

Answers

Answer:

thanks thanks thanks thanks thanks thanks for your points

Solve. −6 1/4x=−3 1/8 What is the solution to the equation? Enter your answer as a simplified fraction in the box.

solve for x

Answers

X would be equal to -0.5

Answer:

its 1/2 did the k12 quiz :)

can someone please help me with this

Answers

Answer:

Add 8 and 8 and then add 5and 5 and get answer 16

Step-by-step explanation:

What will be the total cost for 10 hours of work? ​

Answers

Answer:

Datas are not given

................

Provide context for the question?

If 3m = 19 - n and 2m + 5n = 30, then what is the value of m?

Answers

Answer:

m=5

Step-by-step explanation:

We can solve this by using a system of equations. The easiest way to solve this is by using substitution.

3m=19-n       Subtract both sides by 19 to find n.

-19  -19

3m-19=-n      Divide everything by -1 to make n positive.

/-1        /-1

n=-3m+19

Now, we can substitute n into the second equation.

2m+5(-3m+19)=30    Substitute (-3m+19) into n.

2m-15m+95=30       Simplify.

-13m+95=30              Simplify and subtract both sides by 95.

        -95 -95

-13m=-65                    Divide both sides by -13.

/-13    /-13

m=5

We don't need to solve for n at all, so that is the answer!

Hope this helps, and have an amazing day ♥

Graham drove 42 1/3 miles in 1 1/3 hours. What is the unit rate for miles per hour? Use pencil and paper. Describe a situation in which the unit rate would be easier to work with than the given rate.​

Answers

Answer:

Step-by-step explanation:

42+(1/3)

42*(3/3)+(1/3)

(126/3) + 1/3

126/3 + 1/3 = 127/3 miles

4/3 hours

(127/3)/4/3)

(127/3)*(3/4)

= 127/4 or 31.75 miles/hour

It would have been nicer if we were told Graham's distance after 1 hour (when he had travelled 31.75 miles).

264 devided by 2= also i am sending more so look out

Answers

Answer:

132

Step-by-step explanation:

PLEASE HELP.

I’m not good at algebra and I’m stuck.

Answers

The first graph represents the given function, f(x) = x + 4.

In f(x)= x + 4, the slope, m =1, is positive (rise 1 unit, run 1 unit). This means the graph is inclining from left to right. Also, the y-intercept is (0, 4).

These descriptions matches graph 1.

can someone help please? u dont have to show work so dont mind that

Answers

Answer:

Factor the numerator and denominator and cancel the common factors.

x/4+3/2 or 32/4  or Reduce the expression, if possible, by cancelling the common factors. 8 is your final answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

First, you substitute.

x + 6 / 4

26 + 6 / 4

Then, you add.

26 + 6 = 32

Finally, you divide.

32 / 4 = 8

Answer: 8

Tabitha sent 22 text messages every day for 7 days. How many messages did she send total?
154 messages
176 messages
164 messages
144 messages

Answers

22 x 7 = 154
She sent 154 messages

Answer:

the answer is 154

Step-by-step explanation:

22x7=154

find the next three term of sequence of 1,3,5,7,9,11,...​

Answers

The answer is 13 you’re adding 2 to each number

yall... help pls this is hard

Answers

Answer:

First one Or Last. I think the last one though

Step-by-step explanation:

can someone help me solve this Y= q-k/n for q

Answers

Answer:

q=y + K/n

Step-by-step explanation:

8.8d + 9.65 = –3.01 + 7.2d + 1.46


d= -14 right ?

Answers

Answer:

d=-7

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

d=-23.934375

Step-by-step explanation:

Pls answer need to double check

Answers

if you're looking for someone to double-check I just did and you're right.

Answers:

x = 60y = 70

============================================

Explanation:

The parallel lines show that x = 60 since the 60 and the x angles are alternate interior angles. Alternate interior angles are congruent when we have parallel lines like this.

Focusing on the largest triangle, the three angles add to 180 degrees

x+y+50 = 180

60+y+50 = 180

y+110 = 180

y = 180-110

y = 70

This triangle appears to be equilateral, but it's not entirely so (it's fairly close however). That 50 degree angle in the bottom right corner would need to be 60 degrees for it to be equilateral.

Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate?

Fill in the blanks with the correct values.

Answers

25 minutes

(6*1000)/240

Forty-eight divided by one hundred equals what?

Answers

Answer:

0.48

Step-by-step explanation:

jou just have move point from right to left like this 48 rite so 48. =because have to zero u hqve move two place left so it will be 0.48

Answer:

0.48

Step-by-step explanation:

48 divided by 100=0.48

A caterer will provide the meal for the football banquet. The caterer charges a base fee of $400 plus $6 per plate.

A. Write an equation for the function where y represents the total cost and x represents the number of guests.

B. What does the slope mean in this situation?

C. What does the y-intercept mean?

Answers

Answer: y = 6x + 400

slope = the increase in cost per extra plate

y-intercept = total cost

95 people went to a convention in San Francisco. They took three large vans and 50 people traveled by car. How many people fit in each large van. Write an equation first, then solve

Answers

Answer:

15

Step-by-step explanation:

95 - 50 = 45

45/3 = 15

Help WILL NAME BRAINLIEST

Answers

4= 21, 2=21, 4=159 hope this helps

I need answers fast plsss

Answers

Answer:

1/6

Step-by-step explanation:

the form you're using is slope-intercept. That is

y=mx+b

where y= y coordinate

m=slope

x= x coordinate

and b= y intercept

so, m in that equation is 1/6, so the slope is 1/6

Hope this helps!

The product of four and a number C is decreased by five?



Answers

C(2)2)2!2$262?2)2)2bsbahah

why are 4^0 and (-4)^0 is equal to 1,while -4^0 is equal to -1

Answers

Step-by-step explanation:

According to the zero property of exponents, any number (other than 0) raised to the power of zero is always equal to 1.

The problem with this question is the simple fact that in this format it is confusing.

So, -(4^0) = -1 × (4^0) = -1x1 = -1

and, (-4)^0 =1

Solve for x

9x+7=30

round to the nearest tens digit.

Answers

X=2.5
9x=23
Divide both sides by nine and you get 2.555555555555555
So just say 2.5 recurring

Activity Give the exponential model for the following situation​

Answers

Answer:

Suppose that a couple invested $50,000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, ( A ) Give an exponential model for the situation, and ( B ) Will the money be doubled by the time the child turns 18 years old?

( A ) First picture signifies the growth of money per year.

( B ) Yes, the money will be doubled as it's maturity would be $108,537.29.

a = p(1 + \frac{r}{n} ) {}^{nt}a=p(1+

n

r

)

nt

a = 50.000.00(1 + \frac{0.044}{1} ) {}^{(1)(18)}a=50.000.00(1+

1

0.044

)

(1)(18)

a = 50.000.00(1 + 0.044) {}^{(1)(18)}a=50.000.00(1+0.044)

(1)(18)

a = 50.000.00(1.044) {}^{(18)}a=50.000.00(1.044)

(18)

50,000.00 ( 2.17074583287910578440507440 it did not round off as the exact decimal is needed.

a = 108.537.29a=108.537.29

Step-by-step explanation:

Hope This Help you!!

LAST 1 I SWEARRRR !!

Answers

Answer:

100 i believe

Step-by-step explanation:

I guess subtract 45 from 145

Answer:

80 look at the angels it 80! i had the same exact test today

Step-by-step explanation:

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