A 20ft ladder is leaning against a building. If the base of the ladder is 6ft from the base of the building. What is the angle of elevation of the ladder?

Answers

Answer 1

9514 1404 393

Answer:

  72.5° ≈ 73°

Step-by-step explanation:

The ladder length is the hypotenuse of the right triangle that has the distance from the building as its base and the height up the building as the height of the triangle. The given dimensions are those of the side adjacent to the angle and the hypotenuse.

The appropriate trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(angle) = 6/20

The inverse cosine function (arccos) is used to find the angle from its cosine.

  angle = arccos(6/20) ≈ 72.54°

The angle is 72.5° rounded to tenths, or 73° rounded to degrees.


Related Questions

Please help me complete it PLEASE ASAP!!!!!!!!!

Answers

1= 12.5
2= 25
3= 37.5
4=50
5= 62.5

Tom won 50 pencils in a contest. He gave away 30 pencils and then gave 5 more to his friend Ben. Which expression can Tom use to find how many pencils he has left? answer quickly pls

Answers

Answer:

??????????????????????????????????????????

Step-by-step explanation:

Answer:

(50 - 30) = (20 - 5)

Step-by-step explanation:

Hope this helps:)

Plllllllllsssss hellllllppppppppppppp:)

Answers

30 units²

Step-by-step explanation:

As it is a right angled triangle, we can get the area by simply applying the formula

Area = 1/2 × base × height

Taking the base as 12 and height as 5, we get

Area = 1/2 × 12 × 5

Area = 30 units²

Hope this helps! :D

List the four reasons given by governments for determining how to use land in the interest of the public.

pls help me

Answers

Answer: health, safety, morals and general welfare.

Step-by-step explanation: Governments have justified their actions in determining how land is used with the four interests of health, safety, morals, and general welfare.  

(PLEASE MARK BRAINLIEST)

what microsofttamurchen said

Step-by-step explanation:

GIVE THEM BRAINLIEST !!

Given g(x) = -2x + 3, solve for x when g(x) = -3.

Answers

The answer to this problem is 9
-2(-3) + 3
= 6 + 3
= 9

plsss help me.................

Answers

Answer:

(X+4)(x-4)

Step-by-step explanation:

x^-16

=(X+4)(x-4)

24 quarts Brenda invited 32 people to her graduation party. If each person will drink about 3
cups of punch, how many gallons of punch does Brenda’s mom need to buy?

How many quarts is this equal to?

Answers

she will need to buy 6 gallons of punch

Area of a Parallelogram

Answers

Answer:

P=28

Step-by-step explanation:

a=bh

24= 12x

24 divided by 12=2

12 +2+12+2= 28

its 80 feet if i am correct

solve for x
x-2=-5

help anyone?​

Answers

Answer:

x = -3

Step-by-step explanation:

Note the equal sign, what you do to one side of the equation, you do to the other. Isolate the variable, x.

Add 2 to both sides of the equation:

x - 2 (+2) = -5 (+2)

x = -5 + 2

x = -3

x = -3 is your answer.

~

Answer:

x=-3

Step-by-step explanation:

x-2=5

add 2 to both sides

x-2+2=-5+2

=x=-3

Anser is x =-3

A group of friends wants to go to the amusement park. They have no more than $205
to spend on parking and admission. Parking is $18.25, and tickets cost $12.50 per
person, including tax. Which inequality can be used to determine x, the maximum
number of people who can go to the amusement park?

Answers

Answer:

205 ≥ 18.25 + 12.5x

Step-by-step explanation:

205 = maximum money

18.25 = parking

12.5x = cost per person where x is the number of people

What are the solutions to the system of equations?
y = x
x2
5x – 6
y= 2x – 6
• (-1, 0) and (0, – 6)
• (-1, 0) and (-6, 0)
(-6, 0) and (0, – 1)
. (7, 8) and (0, – 6)

Answers

Answer:

The answer is the last choice

The square pyramid shown below has a slant height of 171717 units and a vertical height of 151515 units.

What is the length of one side of the pyramid's base?

Answers

Answer:

The answer is 16.

Answer:

the proof is in the picture

Step-by-step explanation:

16

y=5 4x-y=7 substitution method

Answers

Answer:

Use photo math. It will explain the steps even in substitution method

find the value of a & b​

Answers

Answer:

a = 23

b = 10

Step-by-step explanation:

The general formula is

y = 3x +  5

Just to check, let x = 2

y = 3*2 + 5

y = 6 + 5

y = 11

And a confirmation check

x = 3

y = 3*3 + 5

y = 9 + 5

y = 14

So for a

x = 6

y = 6*3 + 5

y = 18 + 5

y = 23

For b, you know y

35 = 3x + 5

- 5           -5              Subtract

30 = 3x                       Divide by 3

30/3 = 3x/3

x = 10

The values of the variables a and b are:

a = 23

b = 10

Find the mean of the following set: 30, 16, 29, 14, 21

Answers

Answer:

the mean is 18.2, median is 16, and there is no mode

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

mean is the average of the number.you have to add up all the number then divide it by how many numbers there are.

your question is :30,16,29,14,21 (5 number)

(30+16+29+14+21) / 5 = 22

Find the perimeter and the area of the figure.
6 cm
7 cm
9.5 cm
6.5 cm

Answers

Answer:

259 cm will be the answer, if i am wrong im very sorry about getting it wrong

Step-by-step explanation:

i tried my best.

Which graph below represents the inequality

x ≥ -3

Answers

Answer:

D

Step-by-step explanation:

Since x can be  bigger than -3, or equal to -3,the circle is closed,meaning both are included

The arrow should go to the right when is bigger than....

Answer: D

Explanation:
The plot must be filled in since the value of x could be equal to -3. Therefore we can eliminate A and C . That leaves us with either B or D. The value of x can also be greater than -3 so the arrow must point to the right. So our answer is D.


One fifth of the runs made in a cricket match
were extras. How many runs did the batsmen
actually make if 275 runs were scored?​

Answers

Answer:

akjnajknlkicea

Step-by-step explanation:

1. Find the value of x and y*
y
5
30°
A) x-513, y-513
B) x = 10, y = 10
C) x - 10, y = 53
D) x = 513, y = 10

Answers

Answer:

10 yd. 2 d. 5-333. 15 yd2. 8. ... 5). 4) Determine the values of the missing variables, given the following triangle ... 10 6 km. 으니 a = 4, p = 20 3 x= 4V15, y= 4V5 x = 10, y = 5 x=513, y=5.

F(x) = x/x+6, [1, 12] If it satisfies the hypotheses, find all numbers c that satisfies the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).

Answers

Answer:

The answer is "[tex]{c=-6+3\sqrt{14}[/tex]"

Step-by-step explanation:

Given:

[tex]\to F(x) = \frac{x}{x+6} , \ [1, 12][/tex]

[tex]\to f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]

As per the given intervals:

[tex][1,12]\\\\ a=1 \\ b=12.[/tex]

Calculating the values of f(a) and f(b).

[tex]\to f(1)=\frac{1}{1+6}= \frac{1}{7} \\\\ \to f(2)=\frac{12}{12+6}= \frac{12}{18}=\frac{2}{3} \\\\ \to f(x)=\frac{x}{x+6}\\\\[/tex]

[tex]\to f\:'\left(x\right)=\frac{d}{dx}\left(\frac{x}{x+6}\right)\: \\\\[/tex]

         [tex]=\frac{\frac{d}{dx}\left(x\right)\left(x+6\right)-\frac{d}{dx}\left(x+6\right)x}{\left(x+6\right)^2} \\\\=\frac{1\cdot \left(x+6\right)-1\cdot \:x}{\left(x+6\right)^2}\\\\[/tex]

[tex]\to f'(x)=\frac{6}{\left(x+6\right)^2}[/tex]

Calculating the value of [tex]\ f'(c):[/tex]

[tex]\to \mathbf{f\:'\left(c\right)=\frac{6}{\left(c+6\right)^2}}[/tex]

Replacement of the values in the mean theorem of value now.

[tex]\to \frac{6}{\left(c+6\right)^2}=\frac{\frac{2}{3}-\frac{1}{7}}{12-1}\\\\\to \frac{6}{\left(c+6\right)^2}=\frac{\frac{11}{21}}{11}\\\\\to \frac{6}{\left(c+6\right)^2}=\frac{1}{21}\\\\[/tex]

 Apply the cross multiplication:

[tex]\to (c+6)^2=126 \\\\\to c^2+12c +36= 126\\\\\to c^2+12c +36-126= 126-126 \\\\\to c^2+12c -90= 0\\\\\to c=\frac{-12\pm \sqrt{12^2-4\cdot \:1\left(-90\right)}}{2\cdot \:1}\\\\ \to \mathbf{c=-6+3\sqrt{14}} \\\\[/tex]

Find the area of the figure

Answers

Answer: its either 2.5 or 16

Step-by-step explanation: hope this is helpful I don't know if these answers are right...

1,985 + 12,000 + what ? = 14,471 .

Answers

Answer:

486

Step-by-step explanation:

1,985 + 12,000 + x = 14,471

x = 14471 - 12000 - 1985

x = 486

Answer:

486

Step-by-step explanation:

14471-12000-1985=486

Hope this helps :D

6 more than the product of 22

Answers

132 you supposed to multiply

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

? = 36.87°

Step-by-step explanation:

sin ? = 36/60 = 0.6

? = 36.87°

Kayla is framing a square painting with side lengths of x+5 inches. The total area of the painting and the frame has a side length of 3x-6 inches. The material for the frame will cost 0.07 per square inch

Answers

Complete question :

Kayla is framing a square painting with side lengths of x+5 inches. The total area of the painting and the frame has a side length of 3x-6. inches. Write an expression for the area of the frame. Then find the cost of the material for the frame if x = 16. The material for the frame will cost 0.07 per square inch

Answer:

8x² - 46x + 11 ;

$92.61

Step-by-step explanation:

Side length of square painting = x + 5

Area of square painting = (x +5)²

Side length of Total area of square painting + frame = 3x - 6

Total area = (3x - 6)²

Area of frame :

(3x - 6)² - (x +5)²

(3x - 6)(3x-6)

9x² - 18x - 18x +. 36 = 9x² - 36x + 36

(x +5)(x+5) = x²+5x+5x+25 = x² + 10x + 25

9x² - 36x + 36 - (x² + 10x + 25)

9x² - 36x + 36 - x² - 10x - 25

8x² - 46x + 11

Area of frame = 8x² - 46x + 11

8(16^2) - 46(16) + 11

= 1323 in²

1323 * 0.07 = $92.61

Okay hopefully the picture went but I need help foiling this please

Answers

Answer:

[tex]x^{2}[/tex] - [tex]z^{2}[/tex] - 2z[tex]\sqrt{5}[/tex] - 5

Step-by-step explanation:

This is the equation that you started off with:

(x - z - [tex]\sqrt{5}[/tex])(x + z + [tex]\sqrt{5}[/tex])

You can't really use FOIL on this because that's used in multiplying binomials, and this is a trinomial, but you can still break it up and simplify it this way:

(a + b + c)*(d + e + f) = (a(d + e +f)) + (b(d + e + f)) + (c(d + e + f))

So, applying that idea to the actual equation:

x(x + z + [tex]\sqrt{5}[/tex]) -z(x + z + [tex]\sqrt{5}[/tex]) - [tex]\sqrt{5}[/tex](x + z + [tex]\sqrt{5}[/tex])

= x^2 + xz + x[tex]\sqrt{5}[/tex] -xz -z^2 - z[tex]\sqrt{5}[/tex] - x[tex]\sqrt{5}[/tex] - z[tex]\sqrt{5}[/tex] - 5

= x^2 - z^2 - 2z[tex]\sqrt{5}[/tex] - 5

or [tex]x^{2} - z^{2} - 2z\sqrt{5} - 5[/tex]

The data represents the height, in feet, of various buildings. Find the Range.

60, 58, 54, 56, 63, 65, 62, 59, 56, 58

PLSS HELP I ON A TESTTT PLS HELP!

Answers

Range is about subtracting the lowest number from the highest number!

The lowest number is 54.

The highest number is 65.

65 - 54 = 11

Answer: 11

Answer:

11

Step-by-step explanation:

Subtract the highest and lowest values 65-54, and you get 11

Need help FAST, 25 points. Calculate the value of x

Answers

Answer:

x = 106º

Step-by-step explanation:

The interior angles of a triangle add up to 180º.

First let's find the third interior angle.

We already have: 37º & 69º.

Add them together.

= 106º

To find our third angle, subtract this value from 180º.

180 - 106 = 74º

This is our third interior angle.

x and 74º are supplementary angles, meaning they add up to 180º. This is because they lie on the same straight line and are divided by a single line which they share.

To find x, subtract 74 from 180.

180 - 74 = 106

x = 106º

This is your answer.

Hope this helps!

Is (4,10), (7,-2), (5,4), (7,6) a function?

Answers

No because the x value repeats.


Brainliest plz

Sydney organizes the art gallery in her town’s community center. This month she has 30 new pieces to add to the gallery. Of the new pieces, ⅙ of them are photographs and ⅔ of them are paintings. How many more paintings are there than photos? *
Please show your work so I can understand it!

Answers

Answer:

ok-

30 peices divided by 6 gives you 5 photographs.

2/3 of 30 is 20 paintings.

so, 20 paintings minus 5 photographs means 15 more paintings than photos.

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