A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.

Answers

Answer 1

Answer:

17.7 ft

Step-by-step explanation:

A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.

We solve using the Trigonometric function of sin

sin = Opposite/Hypotenuse

Opposite = Height = ?

Hypotenuse = Length of the ladder = 20 ft

Hence:

sin 62 = h/20 ft

Cross Multiply

h = sin 62 × 20 ft

h = 17.658951857 ft

Approximately = 17.7 ft


Related Questions

Type in the value of y.



If x = 7, then y =

Answers

Answer:  8

Explanation:

The rule says "whatever x is, add 1 to it to get y"

So for instance, if x = 3, then y = x+1 = 3+1 = 4

Now if x = 7, then y = x+1 = 7+1 = 8

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given that,

[tex]1 + 1 = 2 \\ 2 + 1 = 3 \\ 3 + 1 = 4 \\ 4 + 1 = 5...[/tex]

So from this we can infer that, [tex]\large\bold{ x + 1 = y}[/tex]

Now,

[tex]x = 7 \\ y= \: ?[/tex]

Use the rule [tex]\large\bold{ x + 1 = y}[/tex]

[tex]x + 1 = y \\ 7 + 1 = y \\ 8 = y[/tex]

The value of y is 8.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Please help test tomorrow everything you need is in the photo below

Answers

Answer:

yes

Step-by-step explanation:

How do you do this ?

Answers

Answer:

the answer is- g= 72/d minus f/d

Answer: g=72/d - f/d

Which one of the following is a correct equation?

Answers

Answer:

B. cos 41° = [tex]\frac{x}{19}[/tex]

Step-by-step explanation:

cos of an angle is the adjacent side of the angle over the hypotenuse.

Answer:

Answer is a

[tex]{ \boxed{ \bf{ \cos( \theta) = \frac{adjacent}{hypotenuse} }}} \\ { \tt{ \cos(41 \degree) = \frac{x}{19} }} \\ \\ { \boxed{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ { \tt{ \sin(41 \degree) = \frac{ - }{19} }}[/tex]

Triangle PQR is similar to triangle XYZ. The length of PQ is one-half the length of XY. THe length of RP is 2 cm. Which proportion can be used to find the length of ZX?

Answers

Answer:

[tex]ZX = 4cm[/tex]

Step-by-step explanation:

Given

[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex]

[tex]PQ = \frac{1}{2}XY[/tex]

[tex]RP = 2cm[/tex]

Required

Find ZX

[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex] implies that, the following sides are similar

[tex]PQ \to XY[/tex]

[tex]QR \to YZ[/tex]

[tex]RP \to ZX[/tex]

To find ZX, we make use of the following equivalent ratio

[tex]PQ : XY = RP : ZX[/tex]

Where

[tex]PQ = \frac{1}{2}XY[/tex]

[tex]RP = 2cm[/tex]

So, we have:

[tex]\frac{1}{2}XY : XY = 2cm : ZX[/tex]

Express as fraction

[tex]\frac{\frac{1}{2}XY }{ XY }= \frac{2cm }{ ZX}[/tex]

[tex]\frac{1}{2}= \frac{2cm }{ ZX}[/tex]

Make ZX the subject

[tex]ZX = 2 * 2cm[/tex]

[tex]ZX = 4cm[/tex]

At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.

Answers

Answer:

8d + 6b = 55

2d + 9b = 32.50

Step-by-step explanation:

let 'd' = # dog bowls

let 'b' + # bones

Rhonda:  8d + 6b = 55

Kelly:  2d + 9b = 32.50

we can multiply Kelly's equation by -4 to eliminate the 'd' terms:

Kelly: -4(2d + 9b) = 32.5(-4)

-8d - 36b = -130

now add the above equation to Rhonda's equation:

  -8d - 36b = -130

+  8d + 6b = 55

-30b = -75

b = 2.50

now we can use either equation and substitute 2.5 for 'b' to find 'd'

2d + 9(2.5) = 32.5

2d + 22.5 = 32.5

2d = 10

d = 5

Find the surface area

Answers

Step-by-step explanation:

so for this one u do

[tex]15 \times 9 + 9 \times 4 + 15 \times 4[/tex]

231 the times it by 2 for the both sides

231×2=462 cm2

hope this make sense :)

Which relationship has a zero slope?

Answers

I think it would be the second graph, Let me know if i’m right!

a²+b²=c²

5²+9²=c²

25²+81²=c²

106=c²10.2

5

The product of two and any nonzero integer is always _________.

Answers

Answer:

The product of two and any nonzero integer is always an even number.

Step-by-step explanation:

Example:

2 * 17 = 34

2 * 15 = 30

2 * 30 = 60

All of these are even numbers.

The product of two and any nonzero integer is always an even integer.

What are integers?

"It is a natural number numbers along with zero and negatives."

Z = . . ., -3, -2, -1, 0, 1, 2, 3, . . .

What is even integer?

"An integer which is divisible by 2."

For given example,

Let a = 2 and 'b' be any nonzero integer.

Case 1: 'b' is positive even integer

Let b = 4

⇒ a × b = 2 × 4

⇒ a × b = 8, which is an even integer.

Case 2: 'b' is negative even integer

Let b = -8

⇒ a × b = 2 × (-8)

⇒ a × b = -16, which is an even integer.

Case 3: 'b' is positive odd integer

Let, b = 9

⇒ a × b = 2 × 9

⇒ a × b = 18, which is an even integer.

Case 4: 'b' is negative odd integer

Let, b = -3

⇒ a × b = 2 × (-3)

⇒ a × b = -6, which is an even integer.

From above cases, we can observe that the product of 2 and any nonzero integer is an even integer.

Therefore, the product of two and any nonzero integer is always an even integer.

Learn more about integers here:

https://brainly.com/question/15276410

#SPJ2

2 m − 3 ≤ 5 m + 15 solve this equation

Answers

Answer:

m≥ -6

Step-by-step explanation:

Answer:

m ≥-6

Step-by-step explanation:

that is the procedure

If you place a 34 foot ladder against the top of a building and the bottom of the ladder is 25 feet from the bottom of the building how tall is the building?

Answers

The answer is 59
34+25=59

Use the replacement set {3, 4, 9} to find the solution of the equation below.
3n−18=9

Answers

Answer:

[tex]n=9[/tex]

Step-by-step explanation:

[tex]3n-18=9[/tex]

[tex]3n+18=[/tex] +18

[tex]3n=27[/tex]

[tex]3(9)=27[/tex]

[tex]n=9[/tex]

factoring polynominaly

Answers

Answer:

Most of the question is missing. If you could type out the rest, we might be able to help you.

Explain please thank you

Answers

(2•2•2) • (3•3) = (6•6•6•6•6)
8 • 9 = 7776
Therefore not equal

estimate the measure of

Answers

Answer:

Step-by-step explanation:

That appears to be approximately 45 degrees, so to the nearest 10, I would put that at about a 50 degree angle.

Twenty planes are at an airport. Eight planes take off, then five planes land, then 7
more take off, then 9 land. How many planes are left at the airport? PLS HELPP

Answers

Answer:

19

Step-by-step explanation:

20 - 8 = 12

12 + 5 = 17

17 - 7 = 10

10 + 9 = 19

a bucket contains 3 1/2 gallon of water. If Marie adds 5 gallons more, how many gallons of water will there be in all?​

Answers

Answer:

8 1/2

because 3 + 5= 8+ 1/2= 8 1/2

EVALUATE 5/9 -1/4.............

Answers

Answer:

11/36

Step-by-step explanation:

Answer:

0.30555555555

Step-by-step explanation:

10.3% of 853.93km rounded to 2 dp

Answers

Answer:

87.95479

Step-by-step explanation:

10.3% of 853.93 km

Expand 10.3÷100 by multiplying both numerator and denominator by 10.

[tex] \small \sf \frac{10.3 \times 10}{100 \times 10} = 853.93 \\ [/tex]

[tex] \small \sf \frac{103}{1000} = 853.93 \\ [/tex]

convert decimal number 853.93 to fraction 85394÷100

[tex]\small \sf \frac{103}{1000} = \frac{85393}{100} \\[/tex]

Multiplying 103÷1000 and 85393÷100 by numerator times numerator and denominator times denominator.

[tex]\small \sf \frac{103 \times 8539 3}{1000 \times 100} \\[/tex]

Do the multiplication in the fraction

[tex]\small \sf \frac{8795479}{100000} \\ [/tex]

Divide we get

87.95479

Another way to solve it

10.3% 853.93

we know that ; % = whole no. ÷ 100

then,

10.3 ÷ 100 × 853.93

Divide the numbers

0.103 × 853.93

multiply the numbers

87.95479

A circle has a radius of 10 cm and a sector of the circle
has an arc length of 10.8 cm.
The angle at the centre of the sector is x.
Calculate the value of x to the nearest degree.

10.8 cm
10 cm

Answers

10 times 2 is 20
20 times pi is 62.8
62.8 divided by 10.8 =5.8
360 divided by 5.8 = 62 degree
I hope this will help

What is the total surface area of the rectangular prism below in square meters? (Try drawing the net
of the prism if needed.)
5 m
4
2 m
3
m

Answers

Answer: The surface area (SA) would be 62 m.

Step-by-step explanation: The formula for surface area of a rectangular prism is SA= 2(length × width + height × length + width × height). We can   substitute the length, width and height into the problem and get

SA= 2(3×5 + 2×5 + 3×2). Using the order of operations (PEMDAS) we can simplify the problem down to SA= 2(15 + 10 + 6), then add up what is in the   parentheses and get SA= 2(31), and 2×31=62.

roatate triangle p 90* clockwise about the point (2,-1)

Answers

Answer:

hope this helps

Step-by-step explanation:

please find Area of triangle

Answers

Answer:

60

Step-by-step explanation:

Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.

Please answer!!!!! 100% sure will mark as brainlist
question: In the given figure ABCD is a parallelogram Find x​

Answers

Answer:

x=3

Step-by-step explanation:

5x-1=3x+5(opposite sides of a parallelogram is equal)

5x-3x=5+1

2x=6

x=6/2

x=3

therefore the value of x is 3

Answer:

Step-by-step explanation:

So in a parrelelagram, we know that the top and bottom side are equivelent in length.

This is the same with the left and ride side as well.

So knowing this, we can solve x by setting up this equation:

5x-1=3x+5

This works because we know both sides are equvlent, but have different x values and number values.

Lets start solving:

5x-1=3x+5

First lets move all the numbers to one side:

5x=3x+6

Now lers get the variable to one side:

2x=6

Now divide both sides to get x alone"

x=3

This is your answer!

Hope this helps!

HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE

Answers

Answer: -9/2

Step-by-step explanation:

Answer:

x = -9/2

Step-by-step explanation:

Use the law of exponents

(a^p)^q = a^(pq)

here on the left-hand-side

a=3

p=3

q=2x+6

so

(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)

The right-hand-side = 3^(2x)

Equate exponents of both sides

6x+18 = 2x

6x-2x = -18

4x = -18

x = -9/2

The rectangle below has an area of x2 - 16 square meters and a width of x + 4 meters.
What expression represents the length of the rectangle?
x +4
Length
x2 - 16
Length
meters

Answers

Answer:

Length = x - 4 meters

Step-by-step explanation:

Area of a rectangle = length × width

Area of a rectangle = x² - 16

width of the rectangle = x + 4 meters.

Length of the rectangle = ?

Recall:

Difference of two perfect square x² - 16 = (x + 4)(x - 4)

Area of a rectangle = length × width

(x + 4)(x - 4) = length * x + 4

Length = (x + 4)(x - 4) ÷ x + 4

Length = x - 4 meters

Which linear equation best fits the data ?

Answers

Answer:

[tex]{ \tt{slope = \frac{2 - 1.5}{40 - 60} }} \\ = - 0.025 \\ \\ { \tt{y = mx + c}} \\ 2 = ( - 0.025 \times 40) + c \\ c = 3 \\ { \bf{ y = - 0.025x + 3}}[/tex]

the expression (x^2-1)^-2/3 is equivalent to

Answers

Answer:it’s x

Step-by-step explanation:

Sry if I’m wrong

80 POINTS HURRY ILL GIVE BRANLIEIST!!!

A landscape architect built a square playground. The outside edges of the playground measure 3x meters. The playground has an area of 8100 m^2. How much fencing is needed to fully enclose the playground?

Answers

Answer:

360 meters

Step-by-step explanation:

[tex]\sqrt{8100}[/tex] = 90

one edge = 90 meters

90 x 4 = 360

360 meters

If f(x) = (x+1)-1
and
g(x) = x–2, what is the domain of Rx) = g(x)?

Answers

Step-by-step explanation:

f is (x+1)-1

and g (the next letter in the alphabet) is x-2

first for f

x+1-1 = x

Then we -2 for g

So every letter there o words is just 2 less than the previous letter like

h would be h= x-4

so r(x) is g which is x-2 and x which would have to be the remaining amount to get to the number

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