A firefighter extends a ladder against the side of a house. The ladder makes a 32°\degree° angle with the ground. The base of the ladder is 25 feet from the house. Find how high the ladder reaches up the side of the house to the nearest tenth of a foot.

*Draw and label a picture, set up an equation, and solve*

Answers

Answer 1

Answer:

29.5 feet

Step-by-step explanation:

A firefighter extends a ladder against the side of a house. The ladder makes a 32°\degree° angle with the ground. The base of the ladder is 25 feet from the house. Find how high the ladder reaches up the side of the house to the nearest tenth of a foot.

We solve using Trigonometric function of Cosine

= cos theta = Adjacent/Hypotenuse

Theta = 32°

Adjacent = 25 feet

Hypotenuse = Height of the ladder

= cos 32 = 25/x

x = 25/cos 32

x = 29.479460084 feet

Approximately= 29.5 feet


Related Questions

What is the solution to 9x−6<21?
Select one:

x<4

x<3

x<2

x<5

Answers

Answer:

[tex]x > 3[/tex]

Step-by-step explanation:

1) Add 6 to both sides.

[tex]9x > 21 + 6[/tex]

2) Simplify 21 + 6 to 27.

[tex]9x > 27[/tex]

3) Divide both sides by 9.

[tex]x > \frac{27}{9} [/tex]

4) Simplify 27/9 to 3.

[tex]x > 3[/tex]

Therefor, the answer is option B. x > 3.

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i believe the answer would be c.

Answer:

i think its b or c

Step-by-step explanation:

The question is in the image below!

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Answer: a

aa

Step-by-step explanation:aaa

aaaa

Answer:

x = 2

Step-by-step explanation:

2x + 5 = 8x - 7

Add 7 on both sides...

2x + 12 = 8x

Subtract 2x on both sides...

12 = 6x

Divide by 6....

x = 2

:)

7a-2a-5b+b= ??

I dont understand this can anyone help

Answers

Step-by-step explanation:

See bring both like terms together like

7a - 5b

-2a + 1b

=? ? ? ?

Now you identify the answer its so easy I all most said the answer there is nothing to solve actually.

Ok

Answer: 5a-4b

Step-by-step explanation:

=7a+−2a+−5b+b

=(7a+−2a)+(−5b+b)

=5a+(−4b)

=5a-4b

*!!!* please help me!! i’ll mark brainliest if the answer is right!

Answers

Answer

Roundworm is 9ft long and the tapeworm is 60 feet long

Step-by-step explanation:

If we turn this into an algebraic equation we get 8x-3=69 with 8x being x + 7x because we know that the tape worm is about 7 times longer than the round worm and the roundworms length would be x here. We have the -3 because it is 3 minus 7 times the total length. We do this and eventually end up with x = 9 which is the length of the roundworm. We multiply that by 7 to get 63 and subtract 3 to get 60. If you want to check if this is right do 60+9 and you'll get 69 which is the total of them end to end. (also 69 funny haha)

Can 1,3,7 form a triangle
Hurry I need help ASAP

Answers

Answer:

What

Step-by-step explanation:

ellaborate, if its just the numbers then no.

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

Do it in this order

Step-by-step explanation:

5 3 1 2 4 6

1. You see a pair of Air Jordan's, that normally cost $90.00, on sale for 20% 2 points
off. Calculate the sale price of the shoes.*

Answers

Answer:

72 is ur answer

Step-by-step explanation:

90-18 =72

15 points!!!
Write an
equation of the parabola shown.

Answers

Answer:

y=1/2x-4

Step-by-step explanation:

find the gradient and sub in to find y intercept.give me brainliest pls this took forever to do,

The difference in hours between full-timers and the part-timers who work 6 hours a day is 2 working hours. How many hours per day do full-timers work?

Answers

Answer:

8 hours per day.

6+2=8

..

HELP ASAP I KNOW MY BOYS GOT ME‼️15 POINTS PLUS BRAINLIEST
The graph of a function F is shown below use the graph of the function to find it’s average rate of change from x= -4 to x= -2.
Simplify your answer as much as possible.

Answers

Answer:

avg rate of change = -2/3

Step-by-step explanation:

f(x) = -1/3(x-2)²+4

f(-4) - f(2) / [-4-(-2)]

= -8 - (-28/3) / -2

= (-24/3 + 28/3) / -2

= 4/3 · -1/2

= -4/6 or -2/3

Some please help me!!!!!!!!!!:(

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Answer:

ad fk kcfj dlajk jk djkfa ejk fks e

Step-by-step explanation:

Can someone help? :D

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Answer:

I believe the answer is A

Step-by-step explanation:

34, 29, 28, 16, 19, 18, 34, 33, 29
Find the range of the data set

Answers

Answer:

34-16=18

so 18

Answer:

18

Step-by-step explanation:

First, order the data set from least to greatest:

16, 18, 19, 28, 29, 29, 33, 34, 34

The range of a given data set can be found by subtracting the greatest number (34 in this case) with the least number (16) in the set:

34 - 16 = 18

18 is your answer.

~

Find the surface area of the solid below. Round to the nearest tenth it needed. Please someone helpppp

Answers

your answer will be 1275 yd^2

Step-by-step explanation:

hope it helps

Heidi
Sal had $95 in his wallet. Then he bought a hat for $22 and a pair of jeans for $35 at the store. On his way home, Sal stops by the gas station to put gas in his tank using the money he has
left. If gas costs $3 per gallon, and x represents the number of gallons of gas Sal is able to purchase, which statements are true?
Select all that are correct.
Sal can determine the number of gallons of gas that he can purchase using the inequality 57x + 3 5 95
The number of gallons of gas that Sal can purchase can be represented by the inequality 3x S 38
Sal can purchase 13 gallons of gas or fewer.
If Sal wants to save enough money for an $8 car wash, he can also purclyse up to 10 gallons of gas.

Answers

Answer:

yes

Step-by-step explanation:

ok

What is the solution of each equation?

18=t+2.3

Answers

Answer:

t=15.7

Step-by-step explanation:

Which pair shows equivalent expressions?

A. 2x+10=-2(x-5)
B. -2(x-5)=2x-10
C. -2x-10=-2(x+5)
D. -2(x-5)=-2x-10

Answers

im pretty sure its a and c but if it cant be both of them then u or ur teacher probably wrote one of them wrong

Answer:

its answer is A...as u see inA 10 can be divided by 2 and the answer comes 5 it is equivalent.

Armelia wants to paint three walls in her family room, wwo walls are 26 feet long by 9 feet wide. The other wall is 18 feet Hong by 9 feet wide. Each gallon of paint covers about 250 square feet. How many gallons of paint should Amella buy to paint the walls?

Answers

Answer: Wall 1 & 2 : 26 ft by 9 ft

Wall 3 : 18 ft by 9 ft

Area 1 : 26 ft x 9 ft = 234 ft²

Area 2 : 26 ft x 9 ft = 234 ft²

Area 3 : 18 ft x 9 ft = 162 ft²

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1 Gallon = 250 ft²

630 ft² ÷ 250 ft² per gallon = 2.52 gallons

PLZ HELP ME ITS DUE TODAY :'(

Answers

Answer:

24

Step-by-step explanation:

y= 19x + 5

The equation Negative one-half(x + 1) = (y – 5)2 is represented by which graph?

its Not A or B

Answers

Answer:

Step-by-step explanation:

one-half(x + 1) = (y – 5)^2, written symbolically, is (1/2)(x - [-1]) = (y - 5)^2

or x + 1 = 2(y - 5)^2 (after multiplying all terms by 2).   Because the y term is squared, we know immediately that the graph is a horizontal (not vertical) parabola.  

This equation (immediately above) can be written as

x = 2(y - 5)^2 - 1

The standard equation of a horizontal parabola with vertex (h, k) is x = c(y - k)^2 + h.  Comparing this to the given quadratic:  

we see that k = 5 and h = -1.  This tells us that the vertex of this graph is (-1, 5), and that the graph is stretched horizontally because c = 2 is greater than 1.

To graph this, it's best to make a short table of points, as follows, remembering that y is the independent value and x depends on y through the equation given above.

 y    x = 2(y - 5)^2 - 1    (x, y)

 0    x = 49                    (49, 0)

 2    x = 2(-3)^2 - 1         (17, 2)

  1   x = 2(-4)^2 - 1          (31,  1)

  vertex (already found) (-1, 5)

The graph of equation 1/2(x+1)=[tex](y-5)^{2}[/tex] looks like graph of a horizontal parabola.

What is equation?

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

How to graph equation?

one-half(x + 1) = (y – 5)^2, written symbolically, is (1/2)(x - [-1]) = [tex](y-5)^{2}[/tex]

or x + 1 = 2[tex](y-5)^{2}[/tex]. Because the y term is squared, we know immediately that the graph is a horizontal (not vertical) parabola.  

This equation can be written as

x = 2[tex](y-5)^{2}[/tex] - 1

The standard equation of a horizontal parabola with vertex (h, k) is

x = c[tex](c-k)^{2}[/tex] + h.  Comparing this to the given quadratic:  

we see that k = 5 and h = -1.  This tells us that the vertex of this graph is (-1, 5), and that the graph is stretched horizontally because c = 2 is greater than 1.

To graph this, it's best to make a short table of points, as follows, remembering that y is the independent value and x depends on y through the equation given above.

y    x = 2[tex](y-5)^{2}[/tex] - 1    (x, y)

0    x = 49                    (49, 0)

2    x = 2(-3)^2 - 1         (17, 2)

 1   x = 2(-4)^2 - 1          (31,  1)

 vertex (already found) (-1, 5)

Learn more about equation at https://brainly.com/question/2972832

#SPJ2

I need this for extra credit please!!

Answers

kkkkkkkkkkkkkkkkkkkkk

Which one is more
–3\5 or –2/3
Please help

Answers

Answer:

-3/5

Step-by-step explanation:

Pls help ASAP!!!!!!!!!!!!!!!!!!

Answers

Answer:

it is B

Step-by-step explanation:

i counted all the units for c, and B matches with what I got

:)

Answer:

the answer would be letter B

Answer please .Give an explanation so I know ur not just getting points so I dont report. Thank you!

Answers

9514 1404 393

Answer:

  B.  1.5 = 2p

Step-by-step explanation:

If p is the fraction of the price of a pizza, then 2p is the actual value of that fraction. We're told that is equal to the price of a hotdog, so ...

  2p = 1.5

or

  1.5 = 2p . . . . . . matches choice B

_____

Additional comment

Some of us would "cut to the chase" and compute the fraction directly:

  p = (price of hotdog)/(price of pizza) = 1.5/2

No such choice is offered, so the next best is the equation you get when you  multiply this by 2:

  2p = 1.5

Can you help me with this...thank you​

Answers

You solve by with by altitude! Hope it helps

Answer:

[tex]a=\frac{1}{2}\times \: h(a+b)[/tex]

[tex] \frac{1}{2 } \times 9(18 + 24) [/tex]

24 + 18=42

[tex] = \frac{1}{2} \times 9(42)[/tex]

[tex] \frac{1}{2} \times 378[/tex]

=189cm²

Step-by-step explanation:

just use the formula but I'm not sure if my calculation is correct lol

Find three rational number between 2/3 and 3/4.
First pls​

Answers

Answer:

21/30, 22/30, 23/30

Step-by-step explanation:

PLEASE, PLEASE HELP WITH THIS SOON!
A restaurant customer left ​$1.10 as a tip. The tax was 4% and the tip was 10​% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answers

Answer:

all info is needed  answer of the total bill is:275 us

Step-by-step explanation:

10x1.10=11= tax

100/z=4/11

275

Find the value Of x ? help please asap

Answers

Answer:

x= 85°

Step-by-step explanation:

it’s 85°


explanation: i know it’s 85° lol

What percent of 20 is 4?​

Answers

Answer:

4 is 20% of 20

Step-by-step explanation:

4/20 × 100

20%

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