The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.

Answers

Answer 1

Answer:

59.04°

58.31 inches

Step-by-step explanation:

The solution triangle is attached below :

Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;

Let the angle = θ

Tanθ = opposite / Adjacent

Tanθ = 50/30

θ = tan^-1(50/30)

θ = 59.036°

θ = 59.04°

The length of ladder can be obtained using Pythagoras :

Length of ladder is the hypotenus :

Hence,

Hypotenus = √(adjacent² + opposite²)

Hypotenus = √(50² + 30²)

Hypotenus = √(2500 + 900)

Hypotenus = 58.309

Length of ladder = 58.31 inches

The Angle Made By The Ladder With The Ground Is Degrees, And The Length Of The Ladder Is Inches.
Answer 2

Answer:

59°

58.3 inches

Step-by-step explanation:

Here is the full question :

A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.

Please check the attached image for a diagram explaining this question

The angle the ladder makes with the ground is labelled x in the diagram

To find the value of x given the opposite and adjacent lengths, use tan

tan⁻¹ (opposite / adjacent)

tan⁻¹  (50 / 30)

tan⁻¹ 1.667

= 59°

the length of the ladder can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

√(50² + 30²)

√(2500 + 900)

√3400

= 58.3 inches

The Angle Made By The Ladder With The Ground Is Degrees, And The Length Of The Ladder Is Inches.

Related Questions

whats the volume the triangular prism?​

Answers

Answer:

V = 1000 cm³

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Bh ( where B is the area of the triangular end and h is the height )

B = [tex]\frac{1}{2}[/tex] bh = [tex]\frac{1}{2}[/tex] × 10 × 8 = 5 × 8 = 40 cm² , then

V = 40 × 25 = 1000 cm³

y-5=m(x-6) solve for m

Answers

5 + -6m + mX,

If you like, I can explain a bit more!

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'm'...}}\\\\y-5=m(x-6)\\------------\\\rightarrow m(x-6) = y-5\\\\\rightarrow \frac{m(x-6)=y-5}{(x-6)}; x\neq 6\\\\\rightarrow \boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

I don’t know if I get this right so can someone correct it or check it ?

Answers

Answer:

i think thats right

Step-by-step explanation:

The water level was - 4
feet before rainy season.
After rainy season the
water level was 4 feet.
By how much did the
water level change?
Any help is appreciated!!!

Answers

5 feet, round back and forth to get your desired answers

See photo/ will give 10 points.

Answers

Answer:

B) Multiply by 3/2 on both sides of the equation by the multiplication property of equality

given m(n)=2n^2-10n-14,find m(4)+m(-1)

Answers

Answer:

-24

Step-by-step explanation:

m(4)=2*4^2-10*4-14=-22

m(-1)=2*(-1)^2-10(-1)-14=-2

m(4)+m(-1)=-24

Help if you don’t mind

Answers

It’s 1.7 on the number line

factorisation of 4x^2-5x-1

Answers

I am not sure but it is right if your question is right.

what is the rename of 10/21

Answers

Answer: ten Twenty-one

Step-by-step explanation:

10/21

Answer: Ten twenty one.

Quickly please help

Answers

Answer:

6

Step-by-step explanation:

f(x)=2x^3-5x when x=2. So f(2)=6

Find the indicated side of the right triangle

Answers

Answer:

Step-by-step explanation:

tan30°=3/x

xtan30°=3

x=3/tan30°

x= 5.2

Which could be the first step in simplifying this expression? Check all that apply.

Answers

Answer:

[tex](x^{-3})^2[/tex]

Step-by-step explanation:

applying the exponent rule to the inside of the bracket, x^3 x x^-6 = x^-3 since you add the exponents

Find the standard deviation for the set of data.
{5,4, 18, 14, 22, 20, 6, 16, 12}

Answers

The Answer is 6.3245553203368.

Also if you can please answer my recent question.
That will Mean so much.

What is the volume of this figure?

Answers

Answer:

88 ft^3

Step-by-step explanation:

First find the volume of the rectangular prism on the left

V = l*w*h = 2*(4)*8 = 2*4*8= 64 ft^3

Then find the volume of the rectangular prism on the bottom

The base is not 5 but 5-2 since we used 2 on the left side

V = l*w*h = (5-2) *4*2 = 3*4*2 = 24 ft^3

Add them together

64+24=88

anyone know if its a b c or d?

Answers

Answer:The right answer is B

Step-by-step explanation:

If it's negative then it should be on the other side with one side down on the graph and one side on the left.(hope this helped you) :)

Find f(2) if f(x) = (x + 1)^2

Answers

Answer:

9

Step-by-step explanation:

Plug in 2 for x

You should get f(2)=(2+1)^2

Add 2+1 inside the parenthesis to get 3

Finally do (3)^2 to get 9

The width of a rectangle is 4 feet more than the length. If the length is doubled and the width is decreased by 2 feet, a new rectangle is formed whose perimeter is 68 feet. Find the dimensions of the original rectangle.

Answers

Answer:

Step-by-step explanation:

We'll work through this by setting up a table, as follows:

               original                 new

width

length

It tells us the width of a rectangle is 4 feet more than the length. If we don't know the length, we'll call it L; that means that the width is L + 4, because the width is the length plus 4 more feet. Put that into column 1:

                  original                 new

width            L + 4

length             L

The next sentence tells us how the original rectangle is being manipulated to create a new rectangle, so that information goes into the column named "new". The original length is doubled:

                   original                new

width             L + 4

length              L                        2L

and the original width is decreased by 2:

                     original                 new

width              L + 4                   L + 4 - 2 (which simplifies to L + 2)

length                L                         2L

The perimeter of the new rectangle is 68. The formula for the perimeter is

P = 2L + 2w, so filling in our info along with the given perimeter:

68 = 2(L + 2) + 2(2L) and

68 = 2L + 4 + 4L and

68 = 6L + 4 and

64 = 6L so

L = [tex]\frac{32}{3}[/tex] and the width then is

w = [tex]\frac{32}{3}+4[/tex] so

w = [tex]\frac{44}{3}[/tex]

1. Find x.
Please help ASAP

Answers

Answer: 2.31

Step-by-step explanation:

<RQT is a straight angle. What are m<RQS and m<TQS? (also I know it's 19x+9. I need the numbers like 180 or something) it's degrees. ​

Answers

Answer:

<RQS=103 degrees

<SQT=77

Step-by-step explanation:

19x + 9 = 180  subtract 9 from both sides

19x = 171           divide both sides by 19

x = 9                  replace 9 for x in your original

11 x 9 + 4 = 103

8 x 9 + 5 = 77

Answer:

RQS=103°,SQT=77°

SEE THE IMAGE FOR SOLUTION

6cos(20πt-π)+6√3cos(20πt-π\2)

Answers

Answer:

Answer is -6t

Step-by-step explanation:

[tex]{ \tt{ = (6 \cos(20\pi t) \cos(\pi) + 6\sin(20\pi t) \sin(\pi) ) + 6 \sqrt{3} ( \cos(20\pi t) \cos( \frac{\pi}{2} ) + \sin(20\pi t) \sin( \frac{\pi}{2} )) }} \\ = { \tt{ (- 6t + 0) + (0 + 0)}} \\ = { \tt{ - 6t}}[/tex]

Note that π is 180°

100 points for you if you help me

Answers

Answer:

see below

Step-by-step explanation:

It is given that m<A +m<B = m<B + m<C.  We can subtract angle B from each side using the subtraction property of equality.  That leaves m<A = m<C  We can use the symmetric property so that m<C = m<A

Answer:

[tex]thank \: you[/tex]

what is 2 to the negitive one power

Answers

Answer:

1/2

Step-by-step explanation:

2^ -1

We know that a^-b = 1/a^b

1 / 2^1

1/2

(2)^-1
0.5
When it’s a negative you just take the reciprocal.
So 2^1 = 2
But since it’s negative 1 the reciprocal of 2 is 1/2 hence why the answer is 0.5 in decimal form

A woman deposit $600 into an account that pay 5 1/4% interest per year. How much interest will she recieve in one year ?

Answers

Answer:

$31.5

Step-by-step explanation:

Intrest = P. A. * Intrest Rate * Time

Intrest = 600 * 5.25 /100 = 31.5

Twice the difference between a number and 4 is twenty. Find the number.
А. 8
B. 9
C. 12
D. 14

Please help!!!

Answers

Answer:

D 14

Step-by-step explanation:

Let x be the number

2(x-4) = 20

Divide each side by 2

2/2(x-4) = 20/2

x-4 = 10

Add 4 to each side

x-4+4 = 10+4

x = 14

Answer:

The number is 14

Step-by-step explanation:

Let's call this unknown number of x:

2×(x – 4) = 20

2x – 8 = 20

2x = 20 + 8

2x = 28

x = 28/2

x = 14

If you know the answer can you please walk me through how you got it.

Answers

Answer:  Choice B

1 & 3/4

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

Explanation:

Rewrite 1/2 into 4/8 so that it has the same denominator as 7/8.

Now that the denominators are the same, we focus on the numerators. This is because the equal denominators cancel out when we divide the fractions later on.

We'll divide the numerators 7 and 4 to get

7/4 = (4+3)/4

7/4 = (4/4) + (3/4)

7/4 = 1 + (3/4)

7/4 = 1 & 3/4

Meg can get 1 & 3/4 servings from the jug.

STAT question please help me TT

Answers

Answer:

C

because if you arrange orderly ie in an ascending order or a descending order,the middle number is the median and median means average

WILL MARK BRAINLIEST !! find the coordinates F after a dilation about the origin of 2.5 write your answer in AB form​

Answers

Answer:  (5,0)

Explanation:

Point F is located at (2,0)

Multiply each of those coordinates by the scale factor 2.5

2.5*2 = 52.5*0 = 0

This means point F(2,0) moves to F ' (5,0) after applying the dilation, where the dilation is centered at the origin.

Write the area A of an equilateral triangle as a function of the length s of its sides.

STEP 1: Find the base of the equilateral triangle in terms of s.

STEP 2: The height of an equilateral triangle can be found via the Pythagorean theorem. Use this information to find h in terms of s.

Answers

Write the area A of an equilateral triangle as a function of the length s of its sides. Draw the triangle; label each side "2s". Draw the altitute; it will bisect the base into s and s. ... Therefore, the area is equal to the measure of the bisected side times the measure of the altitude, quantity divided by 2.

HOPE SO IT HELPS YOU

Answer:

Step-by-step explanation:

Part A

Each side including     the base is s.

Part B

Use 1/2 the base to find the height. The height meets the base at 90 degrees which gives you the right to use c^2 = b^2 + a^2

The hypotenuse is s

The base is 1/2s

h^2 = s^2 - (1/2s)^2

h^2 = s^2 - 1/4 s^2

h^2 = 3s^2/4

h = sqrt(3)/2 *s

Area = 1/2 * s * sqrt(3)/2 s

Area = 1/4 * s^2 * sqrt(3)

1. Which is an example of an algebraic expression? (2 point) A.4(3+8) B.18² C.3-a D.21×4​

Answers

Answer:

C

Step-by-step explanation:

The answer is C cz it contains the letter a

Rae earns $60 for playing music on Saturday nights at the local coffee house. She makes an average of $5.25 in tips per hour. Write the function of Rae's earnings, and solve for how much she would make after 4 hours. (1 point) a y

Answers

f(x) = 5.25x + 60

f(4) = 5.25*4 + 60 = 81$
Other Questions
Can anyone help me please? Its important If f(x) =3x-2 and g(x) = 2x+1, find (f+g) (x) what do you mean by acrophobia and ephebiphobia? What did you eat at the restaurant? Mention the ways to maintain social harmony? 30 POINTS HELP PLEASE A galvanometer consists of a loop of wire in a magnetic field.Question 19 options: True False Two consecutive integers have a sum of 107. Find the integers. simplify root 32-6 divided by root 2 plus root 2 What is the measure of m? Why does Walt Whitman use the word singing in the title "I Hear America Singing"? PLEASE HELP I'M GOING INTO 8TH GRADE AND I HAVE NO IDEA HOW TO DO ALGEBRA AND THIS IS CONFUSING HELP MY! :l 4x - 8 > -40 Question 1Which thinker believed that everyone should have a right to a speedy trial?Select one:a. Baron de Montesquieub. Jean Jacques Rosseauc. Cesare Bonesana Beccariad. John LockeQuestion 2Which thinker believed that an absolute monarchy was the best form of government due to the Peoples nature to be bad and selfish?A. John Locke B. Thomas Hobbes C. Mary Wollstonecraft D. Jean Jacques Rosseau Question 3 If you were a scientist during the Scientific Revolution, what was one of the most dangerous aspects of publishing your work?A. Misinterpreting your observationsB. Losing money during publishingC. Disagreeing with the churchD. Disagreeing with ancient Greek scientist and philosophers Can someone help please A stained glass window in a cathedral. Various pieces of colored glass form a religious scene.The above piece of art is a replica of what type of religious art?a.monogramc.stained-glass windowb.painting d.engraving Motorcycle Manufacturers, Inc. projected sales of 59,700 machines for the year. The estimated January 1 inventory is 6,410 units, and the desired December 31 inventory is 7,450 units. What is the budgeted production (in units) for the year? a.60,740 b.59,700 c.45,840 d.58,660 ssion 1Pleasepost detailed answers to the following questions. Please use complete sentences. Do you think physical evidence has increased inImportance over the last several decades, with advancements in technology and testing procedures? Why or why not?This forum allows each person to start one discussion topic.Add a new discussion topic how Himalaya s act as a boon for India Help please due today Identify the segments that are parallel, if any, if KCBJAC. The force of gravity is an inverse square law. This means that, if you double the distance between two large masses, the gravitational force between them Group of answer choices weakens by a factor of 4. strengthens by a factor of 4. weakens by a factor of 2. also doubles. is unaffected.