A 9 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of the
wall. Determine the measure of the angle between the ladder and the ground, to the nearest degree.

1 degree


80 degrees


53 degrees


10 degrees

Answers

Answer 1

9514 1404 393

Answer:

  (b)  80°

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The 1.5 meter distance to the wall is the side adjacent to the angle with the ground. The 9 m length of the ladder is the hypotenuse of the triangle modeling this situation.

  cos(angle) = 1.5/9 = 1/6

  angle = arccos(1/6) ≈ 80.4°

The angle between the ladder and the ground is about 80°.

_____

Additional comment

The Ladder Association recommends an angle of 75° for safety. At 80°, the ladder may have a tendency to tip the user backward.


Related Questions

A company that makes robotic vacuums claims their newest model of vacuum lasts, on average, two hours when starting on a full charge. To investigate this claim, a consumer group purchases a random sample of five vacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here are the data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidence that the true mean run time differs from two hours. What are the appropriate hypotheses?

H0: μ = 2 versus Ha: μ < 2, where μ = the true mean run time for all vacuums of this model
H0: μ = 2 versus Ha: μ > 2, where μ = the true mean run time for all vacuums of this model
H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model
H0: μ ≠ 2 versus Ha: μ = 2, where μ = the true mean run time for all vacuums of this model

Answers

Answer:

The answer is C. H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model

Step-by-step explanation:

EDGE 2021

Can some one help me out my grades are bad

Answers

Answer:

Go to the bottom of that problem and click save for later

Can someone please help mweeeeeee

Answers

Answer:

D

Step-by-step explanation:

180 degrees in a triangle

102+(x+6)+(x+15)=180

remove parenthesis and combine like terms

123+2x=180

subtract 123 from both sides

2x=57

divide

x=28.5

substitute x for its actual value

28.5+6

angle A= 34.5

28.5+15

angle B= 43.5

3 There are 4 quarts in a gallon. Which function models the number of quarts in x gallons? A h(x) = 0.25% B h(x) = 4x C h(x) = x +4 D h(x) = X What is the answer you can help me ?

Answers

Answer:

[tex]h(x) = 4x[/tex]

Step-by-step explanation:

Given

[tex]4\ qt \to 1\ gallon[/tex]

Required

Number of quarts in x gallon

This can be represented as:

[tex]h(x) \to x\ gallon[/tex]

So, we have:

[tex]4\ qt \to 1\ gallon[/tex]

[tex]h(x) \to x\ gallon[/tex]

Cross Multiply

[tex]h(x) * 1\ gallon = 4 * x\ gallon[/tex]

[tex]h(x) * 1 = 4 * x[/tex]

[tex]h(x) = 4x[/tex]

Can I get a answer for all of it?

Answers

Answer:

R'=(-3,6)

Q'=(-3,-3)

S'=(7,6)

T'=(7,-3)

Answer:

see explanation

Step-by-step explanation:

A translation of 7 units right means adding 7 to the x- coordinate. The y- coordinate remains unchanged, then

Q (- 10, - 3 ) → Q' (- 10 + 7, - 3 ) → Q' (- 3, - 3 )

R (- 10, 6 ) → R' (- 10 + 7, 6 ) → R' (- 3, 6 )

S (0, 6 ) → S' (0 + 7, 6 ) → S' (7, 6 )

T (0, - 3 ) → T' (0 + 7, - 3 ) → T' (7, - 3 )

can anyone help me find keirston03?

Answers

Answer:

I'm pretty sure this is them, right???

https://brainly.com/app/profile/26203419/answers

Answer:

hey im so sorry havnt been on in a while. its a really long story. i hope youre doing good tho!! miss you!

Step-by-step explanation:

Find the missing measure angle

Answers

Answer:

Step-by-step explanation:

x+90+90+78=360(sum of 4 angles is always 360 degree)

x+258=360

x=360-258

x=102

Answer:

[tex] {x}^{o} = {102}^{o} [/tex]

Step-by-step explanation:

Hint:

sum of angles = 360°

Simplify:

[tex] {x}^{o} + {78}^{o} + {90}^{o} + {90}^{o} = {360}^{o} \\ {x }^{o} + 258^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {258}^{o} \\ {x}^{o} = {102}^{o} [/tex]

Hope it is helpful....


Monique's swimming pool filter needs repair. She calls two companies for prices. The
Pool Boyz charge $70 for a service call and $40/h for labour. Kemikal Balance charge
$50 for a service call and $45/h for labour.
a) Write a linear equation for each company.
b) Find the solution to this linear system

Answers

A) y = 70 + 40x, y = 50 + 45x

the first number is the initial service call charge, and the second number/slope is the rate per hour of the company, where x is the number of hours worked

B) x = 4

Since both equations are solved for y, you can set them equal to each other to get
70 + 40x = 50 + 45x

Solve for x to get x = 4.

The blue segment below is a diameter of O. What is the length of the radius of the circle? ASAP!!

Answers

Answer: The radius is 3.7 units

Step-by-step explanation:

what is greater -4 squared or -1 to the power of 3

Answers

Answer:

-1³ is greater than -4⁴ ok bye welcome❣

For the first four days of a five day vacation, the mean temperature was 80 degrees. What must the temperature be on the fifth day in order for the mean temperature to be 82 degrees?

Answers

Answer:

The 5th day must be 90

Step-by-step explanation:

The first 4 days averaged out to 80

You can find their total just by multiplying by 4. That won't tell you the exact values, but it will tell you their total when you add the 4 of them together.

80*4 = 320

Now you need to add another day into the mix. Call it x

320 + x

Now there are 5 days, not 4, and the new total is 82.

(320 + x) / 5 = 82          Multiply both sides by 5

5*(320 + x) / 5 = 82 *5

320 + x = 410                 Subtract 320

-320        -320

x = 90

Find the measure of the missing angle.

Answer: a= ______

(NO FILES) IF YOU ANSWER YOU WILL BE MARKED BRAINLIEST :)

Answers

Answer:

a= 32

Step-by-step explanation:

Since "a" is a part of a supplementary angle (An angle that adds up to 180º)

What you would need to do is add 58º and 90º (90º because the right angle = 90)

so 58+90 = 148

Then you would subtract 148 from the total of the angle (Which is 180)

so 180 - 148 = 32, And that shows that a = 32

(P.S. THE BOTS THAT POST THE LINKS TO THE FILES ARE POSTING MALWARE AND VIRUSES, DO NOT DOWNLOAD ANYTHING FROM THEM THEY ARE VIRUSES. IF YOU HAVE DOWNLOADED ANYTHING, GET A RELIABLE ANTIVIRUS SOFTWARE AND SCAN YOUR COMPUTER)

HELP DUE IN 10 MINS!

Which equation has the following: Center (-7, 12) and radius 3.

A. (x−7)2 +(y − 12)2 = 9

B. (x+7)2 + (y - 12)2 = 3

C. (x+7)2 +(y + 12)2 = 3

D. (x+7)2 +(y − 12)2 = 9

Answers

Answer:

D

Step-by-step explanation:

(x+7)²+(y-12)²=9

____________

Answer:

[tex]\text{D. }(x+7)^2+(y-12)^2=9[/tex]

Step-by-step explanation:

The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

What is the best description of the relationship in the scatterplot below?
Chose 1 answer
A- positive linear association
B- negative linear association
C-Nonlinear association
D- no association

Answers

Answer:

a becuase it is just a so if you get that wroung dont blem me lol

Step-by-step explanation:

Answer:

A - Positive linear association

Step-by-step explanation:

You can see that the overall direction of the graph is going up, therefore, this graph has a postivie association.

please help!!!!!!!!!!

Answers

Answer:

Positive

Step-by-step explanation:

Positive
Do do do ba do

if u subtract 12 from a number and multiply the result by 12 you get 18. what is the number​

Answers

Answer:

27/2 is the value of the number.

Let the number be x.

According to the question,

12(x-12)=18

x-12=18/12

x-12=3/2

x=3/2+12

x=3/2+24/2

x=27/2

HOPE IT HELP :)

Answer:

13.5    27/2      13 (1/2)   all the same

Step-by-step explanation:

(x-12)x12  = 18

12x-144 = 18

12x = 162

x = 162/12 = 27/2  = 13(1/2) = 13.5

Question 5:Solve for a Side
Find the missing side. Round to the nearest tenth.

Answers

34

5 divided by 9 = ans

sin^-1(ans) = 33.7 which rounds to 34

The list below shows the number of train tickets sold each
week during an eight-week period.
2945, 4572, 3560, 3359, 4089, 2841, 3283,
4266
What is the range of the data?

Answers

Answer: The range is 1731

Step-by-step explanation: lowest number 4572- 2841 highest

A rectangle has a length of
381
and a width of 33 inches. Find the area of the rectangle. (2 points)

Answers

Length times width equals area.
381*33=12,575

Answer: 12,573 sq inches

pls help ill mark brainlist

Answers

Area if Rectangular prism:-

area: 2(wl+hl+hw)

So,

2(5×2+2×2+2×5)

ans- 48cm²

which statement is the best example of the chemical weathering of water

Answers

Limestone rocks dissolving in water. All other options are forms of physical weathering.
Limestone rocks dissolving in water. All other options are forms of physical weathering.

Help pleaseee?? Yuhh

Answers

Answer : Copy the question into brainly search bar and get youre answer.

The last one because x/y (4x/1) flips to (1/4x)

A rectangle is formed by placing two identical squares side by side. The area of the rectangle is 162 cm2

Answers

Answer:

a) The area of each square is 81 square centimeters.

b) The side length of the square is 9 centimeters.

c) The perimeter of the rectangle is 54 centimeters.

Step-by-step explanation:

Statement is incomplete. After some web research we conclude that the complete statement is the following:

A rectangle is formed by placing two identical squares side by side. The area of the rectangle is 162 square centimeters. Find:

a) The area of each square.

b) The side length of each square.

c) The perimeter of the rectangle.

a) The area of the each square is half the area of the rectangle. Hence, the area of each square is 81 square centimeters.

b) The area formula for squares ([tex]A[/tex]), in square centimeters, is:

[tex]A = l^{2}[/tex] (1)

Where [tex]l[/tex] is the side length of the square, in centimeters.

If we know that [tex]A = 81\,cm^{2}[/tex], then the side length of the square is:

[tex]l = \sqrt{A}[/tex]

[tex]l = \sqrt{81\,cm^{2}}[/tex]

[tex]l = 9\,cm[/tex]

The side length of the square is 9 centimeters.

c) The perimeter formula of the rectangle ([tex]p[/tex]), in centimeters, is presented below:

[tex]p = 6\cdot l[/tex]

[tex]p = 6\cdot (9\,cm)[/tex]

[tex]p = 54\,cm[/tex]

The perimeter of the rectangle is 54 centimeters.

I need help with this one could anyone help

Answers

Answer:

the formula to use is A

hope it helps

2(4K + 7)
Helppp lol

Answers

8k+14

Hope this helps !!!

Answer:

8k + 14

Step-by-step explanation:

2(4K + 7)

8k + 14


At the end of January, Garrett had $176 in his
savings account. By the end of February, he
had $217. To the nearest percent, what is the
percent change in the amount of money in
Garrett's savings account?

Answers

Answer:

bank account cant give me 5 bank name

When a biological researcher arrived on Wombat Island, there were about 1000 wombats on the island. Their population grew quickly. Estimated Wombat Population Year 1 2 3 4 5 Wombats 1000 2000 4000 8000 16,000 The researcher decided that the population growth followed a geometric sequence. He wrote the explicit formula an = 1000(2)n – 1 to model the growth, and used this formula to predict the populations for years 6, 10, and 50.

Answers

Answer:

Yes

Step-by-step explanation: The explicit formula used: An = 1000(2)n - 1 is the correct formula. This is modeled as exponential growth with a common ratio of 2; which is correct based on the data given in the table.

The predicted population for year 50 is approximately [tex]1.1259[/tex] x [tex]10^18[/tex] wombats.

To predict the populations for years 6, 10, and 50 using the given explicit formula an = [tex]1000(2)^n[/tex] – 1, we can substitute the respective values of n and calculate the population.

For year 6 (n = 6):

a6 =  [tex]1000(2)^6[/tex] – 1

a6 = 1000(64) – 1

a6 = 64,000 – 1

a6 ≈ 63,999

The predicted population for year 6 is approximately 63,999 wombats.

For year 10 (n = 10):

a10 = [tex]1000(2)^ 10[/tex]

a10 = 1000(1,024) – 1

a10 = 1,024,000 – 1

a10 = 1,023,999

The predicted population for year 10 is 1,023,999 wombats.

For year 50 (n = 50):

a50 = [tex]1000(2)^50[/tex] – 1

a50 = 1000(1.1259 x 10¹⁵ ) – 1

a50 = 1.1259 x 10¹⁸ – 1

a50 ≈ 1.1259 x 10¹⁸

The predicted population for year 50 is approximately 1.1259 x 10^18 wombats.

To know more about geometric sequence. here

https://brainly.com/question/29632351

#SPJ2

find the value of x pls help

Answers

mwahahahahauauauhahauaha i love you hahaha

Rei is barricading a door to stop a horde of zombies. She stacks boxes of books on a table in front of the door. Each box weighs 30 kilograms, and the table with 8 boxes on top weighs a total of 310 kilograms.

The total weight W of the barricade in kilograms is a function of x, the number of boxes Rei stacks on the table.

Write the function's formula.

W =

Answers

Answer:

240?

Step-by-step explanation:

The rest of the drawers are 3.5 by 1.25 by .75 ft.
what is the volume of these drawers? ​

Answers

Answer:

3.28125 cubic feet

Step-by-step explanation:

3.5 x 1.25 x 0.75 = 3.28125 cubic feet

Other Questions
In the following table y is proportional to x. What is the constant of proportionality?A. 5/14B. 5/7C. 7/5D.20/7 The volume of Cylinder A is 189 ft and thevolume of Cylinder B is 56 ft. If the cylinders aresimilar, what is the ratio of surface area ofCylinder A to the surface area of Cylinder B?Please dont put in a link T increased by 55 pls help no links or anything simplify 3a/a^2-9a+18-2/a-6 Complete the table below. Michelle and Pierre both want to buy guitars, Michelle has already saved $60, andplans to save $5 per week until she can buy the guitar, Pierre has $25, and plans to save$12 per week. How many weeks will pass before Michelle and Pierre have the sameamount of money? EASY! Please I need help, I will give brainliest. what is one of the basic principles of demcoracy? find 11/25 of a liter The table shows the masses of four objects.A 2-column table with 4 rows. The first column labeled object has entries book, rock, box, fish. The second column labeled mass (kilograms) has entries 1.1, 2.3, 4.5, 5.8.Which object has a weight of about 22.5 N?the bookthe rockthe boxthe fish Which are factors that contributed to the decline of the Roman Empire? Choose the TWO correct answers. Three game tickets and four ride tickets cost $39. Five ride tickets cost $15. All game tickets cost the same and all ride tickets cost the same. What is the ratio of the cost of a game ticket to the cost of a ride ticket? what is similarities of kudyapi pilapil 1. What rhetorical effect does the final "Never." have on theaudience? What meaning is conveyed in the statement? (2 complete sentences please). Honon spent 3 1/4 hours on homework while Sequoia spent 2 5/6 hours on homework. How much more time did Honon spend on homework than Sequoia In a childs bank are 11 coins that have a value of $1.85. The coins are either quarters or dimes. How many coins are quarters? balance the following equations:a. ____AgI + _____Na2S _____Ag2S + _____NaIb. ____Na3PO4 + ____HCl _____NaCl + _____H3PO4c. _____Ba3N2 + _____H2O _____Ba(OH)2 + _____NH3d. _____TiCl4 + _____H2O _____TiO2 + _____HCle. _____CaCl2 + _____Na3PO4 _____Ca3(PO4)2 + _____NaCl What major conflict is kellan facing Guided PracticeChoose the ordered pair that is a solution of the system. x + y = 4x = 1A.(1, 3)B.(5, 1)C.(1, 5) What's the Full form of NASA.