If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it is placed at an angle of 72 degrees from the ground, how long is the ladder to the nearest foot?

Answers

Answer 1

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long


Related Questions

If you multiplied a 2x3 matrix and a 3x5 matrix, what size would the resulting matrix
be?
Please write your answer as "axb" without spaces!

Answers

Answer:

Broooooowhere

N s tayt

Dwyane

Step-by-step explanation:

D ihalesinde merhaba hocam nasılsınız nasılsın bir yöntem olup olmadığını düşünelim sırasıyla görüşmek için randevu talep ediyoruz

1. Calculate the slope of Graph D. Explain or show your reasoning
2. Calculate the slope of Graph E. What situation could the graph represent

3. On the blank grid , draw a line that passes through the indicated point and has the slope -2.

Answers

Answer:

Step-by-step explanation:

1). Slope of a line shown on the graph will be,

   Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

              = [tex]\frac{-4}{1}[/tex]

              = -4

2). Slope of the given horizontal line can be determined by,

    Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

    Since, rise of the given line is zero.

    Therefore, slope of the given horizontal line will be 0.

3). Slope of the line passing through the indicated line = -2

    Therefore, a line which has a rise = -2 and run = 1 can be drawn on the given blank grid (As attached).

Answer:

Step-by-step explanation:

1. -4. Explanations vary. Sample explanation: for each horizontal change of 1, the vertical change is -4, so the slope of the line is -4.

2. 0. Responses vary. Sample response: The amount of rainfall on a day with no rain.

3. A graph through the indicated point with a slope of -2.

The sum of two consecutive numbers is 723. FInd the numbers.

Answers

Answer:

361 and 362

Step-by-step explanation:

a+b=723

b-a=1

b=1+a

a+1+a=723

2a+1=723

2a=723+1

2a=724

a=362

362+b=723

b=723-362

b=361

so b and a are 361 and 362 respectively

hence the consecutive numbers are 361 and 362

Answer:

the answer is 240,241,242

Step-by-step explanation:

If f(x) = -7x+1 and g(x) = -5x+3, what is (f+g)(x)?

Answers

Answer:

-12x + 4

Step-by-step explanation:

Just write the givens like this f(x) + g(x)  

f(x) + g(x) = -7x + 1  + - 5x + 3

f(x) + g(x) = - 7x + 1 - 5x + 3

f(x) + g(x) = - 12x + 4

Pls help I dont under stand this at all

Answers

Answer:

0.5 = 0.25

1=2

2=4

2.5=5

3=6

Step-by-step explanation:

distance divided by 2 equals the time

i hope this helps!

What is the answer 2(9-6)^2/18

Answers

Answer:

1

Step-by-step explanation:

So just follow order of operations

9-6=3

3^2=9

9*2=18

18/18=1

Final answer is 1

have a limited time​

Answers

Answer:

50

Step-by-step explanation:

This is your answer because you have to solve it and then you get your answer.First you have to know that a right angle is 50 from there you subtract and then divide and that is how you get 50

Hope this helps:)

Pls mark brainly

My last question plz help me

Answers

The answer is c I hope this helps
the answer is c i am pretty sure

Millie's family went out to dinner. At the restaurant, they
had to wait to be seated. They arrived at 5:00 but were
not seated until 5:20. If Millie's minute hand on her
watch is 1.5 cm long, how much area of the clock was
covered while she waited for her table?
1.766 sq. cm
2.355 sq. cm
07.065 sq. cm
9.42 sg. cm

Answers

this is 2 complicated for me

Rafael said 5 equals – 5. Is Rafael correct? Use the number line and words to support your answer.

Answers

Answer: Rafael is incorrect

Step-by-step explanation: 5 is not equal to -5. It is the additive inverse, or negative reciprocal.

Answer:

No he is not because 5=5 when talking about absolute value I think sorry I couldn't show the number line

Step-by-step explanation:

can someone help me with this one ?

Answers

Answer:

For the question 7 its congruent for 8 it's not congruent

Step-by-step explanation:

Help me plzzz I don’t understand this

Answers

The correct justification is to multiply each side by -3 where W= -18

brainly and points :)

Answers

Answer:

9

Step-by-step explanation:

(3/2)^3 = 27/8

27/8 x 8/3 = 27/3 = 9

-5y+6x=40
solve the system of equations ​

Answers

Answer:

Step-by-step explanation:

-5y+6x=40

15y/15=40/15-6x/15

y=8/3-2/5x

How can you use clues and resources to
determine and verify the meanings of words?​

Answers

Answer:

Determine or clarify the meaning of unknown and multiple-meaning words and phrases by using context clues, analyzing meaningful word parts, and consulting general and specialized reference material

Step-by-step explanation:

Explain how to find the Great Common Factor.

Answers

Hope this helps!!
Greatest common factor is the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

A parallelogram has an area of 324 square feet. A circle has the same area. What is the approximate circumference of the circle.

Answers

Answer:

63.8ft

Step-by-step explanation:

Find the value of x.
(Reposted)

Answers

Answer:

one circle has a total angle of 360. Hence, 360-101= 3x+2+x-35

259=4x-33

292=4x

x=73 degrees

I'll give you brainliest once i know its right !!

Answers

Answer:

D

Step-by-step explanation:

H77777777

Answer:

48%

Step-by-step explanation:

If the coin is flipped 250 times, and lands on tails 120 times, set this up as a fraction. Put 250 on the bottom, and 120 on the top (because you want to know percentage of tails for 250 coin flips) to get 120/250. This is 0.48, to turn this into a percentage multiply by 100, 48%. You can check this answer by taking 0.48(250) and you will get 120.

HELP QUICK PLS ILL GIVE BRAINLY

Answers

Answer:

1

Step-by-step explanation:

Algebraically, both sides of the equation must equal each other.

[tex]4(12x-6)=6(-4+5x)+18[/tex]

Distribute

[tex]4(12x-6)=6(-4+5x)+18\\48x-24=30x-24+18\\[/tex]

Add, subtract, multiply, or divide to isolate x.

[tex]48x-24=30x-24+18\\48x-24=30x-6\\18x=18\\x=1[/tex]

The solution to this equation is 1.

To test, you can plug in x with 1 and you will see that both sides equal each other.

Answer: X=0

Explanation:
- Distribute 4 through the first set of parenthesis. It will be 48x-24=6(-4+5x)+10x
- Now distribute 6 through the second set of parenthesis. Now it will be 48x-24=-24+30x+10x
- Cancel equal terms on both sides of the equation (both of the -24’s) So it will be 48x=30x+10x
- Collect like terms (add 30x and 10x). You will get 48x=40x
- Move the variable to the left-hand side. It will be 48x-40x=0
- Collect like terms (Subtract 40x from 48x). You should get 8x=0
- Divide both sides by 8. X=0

What is the difference between 10 x 4 + 5 and 10 x (4 + 5).

Answers

Answer:

The difference is that in the first equations you multiply the 10 by 4 first because of PEMDAS rule. But in the second equation you add the 4 and 5 before multiplying. Thats the only difference :D

Step-by-step explanation:

I hope this helps!!!!

Answer:

[tex]10*4+5\\By\ applying\ BODMAS, as\ there\ are\ no\ brackets\ we\ directly\ multiply(M)\ 10\\ with\ 4\ and\ add(A)\ the\ product\ with\ 5.\\[/tex]

[tex]Hence,\\10*4+5\\=40+5\\=45[/tex]

[tex]10*(4+5)\\By\ applying\ BODMAS,\ due\ to\ the\ presence\ of\ the\ brackets\ we\ carry\\the\ operations\ inside\ the\ bracket.\\ Hence,\\10*(4+5)\\=10*9\\=90[/tex]

[tex]See\ the\ difference!![/tex]

Pleaseee help me!! I have less than 30 mins :(

Answers

distribute the numbers, solve for y. y= 4

Answer:

3 − 12 and the solution would be -4

    3

Step-by-step explanation:

Sorry if I'm late

Danny got 33 out of 55 questions correct on his Social Studies exam. What percent of questions did he get correct

Answers

Answer:

22

Step-by-step explanation:

just subtract 55-33

i dont know this one help needed thanks.

Answers

Answer:

B- 27/9

Step-by-step explanation:

An album sells for $16.00 through an online music service. If the album is 10% off, and sales tax is 8%, what is the total price of the album including tax? A. $15.70 B. $15.68 C. $16.42 D. $15.55

Answers

Answer:  B. $15.68

Step-by-step explanation:

Given: Selling price of album = $16.00

Discount = 10% off

Sales tax = 8%

Discount = 10% of ( Selling price of album)

= 10% of $16

= 0.1 ($16)

= $1.6

Sales tax = 8% of ( Selling price of album)

= 8% of $16

= 0.08 ($16)

= $ 1.28

Total price of the album including tax = Selling price of album +Sales tax  - Discount

= $ 16 + $1.28 - $1.6

= $ 15.68

Hence, B. is the correct option.

Given that,
2a + 5b=22
b = 2
Find the value of a.​

Answers

Answer:

11

Step-by-step explanation:

Answer:

a=5.5 I hope this helped you

(-5,3) and (7,9) what is the slope?​

Answers

Answer:

0.5

Step-by-step explanation:

Marta received $5 for helping her dad in the back yard. She spent $2.40 on drinks and $1.33 on snacks. A)Write an equation to show how much money she has left. Remember to define your unknown. B)Solve the equation from part (a). Show your work

Answers

Answer:

5-( 2.40+1.33 )= $1.27

Step-by-step explanation:

If you add $2.40 to $1.33 you get $3.73, the total amount of money she spent on drinks and snacks. Then you would need to subtract $3.73 from $5.00, which is $1.27.

I hope this helps!

Carmen got a puppy for her birthday. Her mom wants it kept outside when the weather
is nice, so Carmen has decided to fence a rectangular area 9 feet long by 6 feet wide for
the puppy to play in. How many feet of fence does Carmen need?

Answers

Answer:

54ft of fence for the PUPPY

Step-by-step explanation:

John earns $7.50 an hour. How many hours will John have to work to earn $600?

Answers

Divide John's goal amount by his hourly rate to find the answer.

$600 ÷ $7.50/hour = 80 hours.

So, John will have to work a total of 80 hours in order to earn $600.

Answer:

80

Step-by-step explanation:

If you divide 600 with 7.50 you will get 80.

That is simple!

Find the GCD (or HCF) of numerator and denominator

GCD of 600 and 750 is 150

Divide both the numerator and denominator by the GCD

600 ÷ 150

750 ÷ 150

Reduced fraction:

4

5

Therefore, 600/750 simplified to lowest terms is 4/5.

                 

                       

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