The master roofer wants to put the ladder on the side of the house but she doesn't
know if it can be set at the proper angle. What will be the angle of elevation if the
10-foot long ladder is placed 1 feet from the wall?

Answers

Answer 1

Answer: About 84.261 degrees

Step-by-step explanation:

To find the angle of elevation, we can create a triangle and solve for the angle.

First, we can imagine a triangle with side A being the ground between the base of the ladder and the wall, side B being the wall (from the base of the wall to where it touches the top of the ladder), and side C being the ladder (from where it touches the ground to where it touches the wall).

In the problem, it has already given us two of the side lengths we need to solve for the angle of elevation:

1. We know that the ladder is 10 feet tall, so we can say that side C is 10.

2. We know that the ladder base is placed 1 foot from the wall, so we can say that side A is 1.

The angle of elevation is the angle that the ladder is tilted from the ground, or the angle between the ground (side A) and the ladder (side C). These sides relative to the angle would be the adjacent (side A) and the hypotenuse (side C).

To calculate for the angle, we can use the cosine function. (cos = adjacent / hypotenuse)

To find the angle of elevation (which we can call angle b), we can use:

cos(b) = A / C

arccos(A / C) = b

(Note: arccos is the inverse of the cos function)

Then, we can plug in the values and get:

b = arccos(1 / 10)

b = 1.471 radians OR 84.261 degrees


Related Questions

Latoya is saving money at a constant rate to buy a new
computer. The table below shows the amount of money that
Latoya still needs to purchase the computer.
Weeks of Saving Money Still Needed
2
$630
5
$450
7
$330
9
$210

Answers

that makes no sense

Step-by-step explanation:

it does not take photo of the chart

Find the equation of the line shown

Answers

Answer:

Step-by-step explanation:

Slope is obviously 1, and y-intercept is 1

y = x + 1

which function is represented by the values in the table below?

Answers

d y=2x + 1
i think but i hope that helps

Find the length of side BC.
Give your answer to 1 decimal place.
C
14 cm
580
A A
B

Answers

Length of the side be=11.9cm
Be=14sin58
Nvm=14 times 0.8480
Bc=11.9 cm

please answer 46 points. Do not comment if u don’t know

Answers

Answer: 1ST ONE CUZ THE LINE IS AT A CERTAIN ANGLE AT A POINT TO MATCH THE FIRST ANSWER

Step-by-step explanation:

Solve the system using elimination. 3 x plus 3 y equals 27. x minus 3 y equals negative 11.

Answers

Answer:

- 5/4

Step-by-step explanation:

Answer:

x=4 and y=5 commonly notated as (4,5)

Step-by-step explanation:

The equations

Equation 1: 3x+3y=27

Equation 2: x-3y= -11

The second equation looks like it will be the easiest to rearrange.

x-3y = -11

add 3y to each side to get

x = 3y-11

Substitute that in for x in equation 1 so

3x+3y=27

turns into

3(3y-11) +3y =27

multiply out to get

9y-33+3y =27

Condense variables

12y-33=27

add 33 to each side

12y= 60

Divide by 12

y = 5

Plug into one of the original equations (I will be doing both to show it doesn't matter what equation you use, but you only need to use one equation, I personally think it is easier to plug into the second equation)

Equation 1: 3x+3y=27

Plug in what we got for y

3x+3(5)=27

multiply

3x+15=27

subtract 15 from each side

3x=12

divide by 3

x=4

Equation 2: x-3y = -11

Plug in what we got for y

x-3(5) =-11

Multiply

x-15= -11

Add 15 to each side

x=4

1/3 divided by 1/8
a, 1/24
b. 3/8
C. 2 and 2/3
d. 24

Answers

the answer is B. 3/8
The answer is b 3/8 is the answer

What is the measure of the missing angle? 125 125° 03 O 13° O 42°​

Answers

Answer:

The correct answer is C. 13

Step-by-step explanation:

It is 13 because all triangles equal 180

so 125+42+13=180

A brand of mixed nuts contains cashews. Tyler counts 51 nuts in
one package, 13 of which are cashews. He counts 52 nuts in another package,
10 of which are cashews. Based on these samples, estimate the percent of nuts
in a package that are cashews.

Answers

Answer:

% 23

Step-by-step explanation:

Muffins are sold in packages of 18 and cost $27 per package. Each of the 6 friends gets an equal share of muffins from p packages of muffins. Write an expression to represent how much each friend must pay.


PLEASE HELP THIS IS A TEST DONT ANSWER FOR POINT AND PLEASE DONT GIVE THE WRONG ANSWER PLEASE

Answers

3 x 6 to the power of 4 divide that by how many people their are !


PLS HELP * 12 POINTS* I WILL MARK BRAINLIEST

Answers

Answer:

1.45

2.61

3.33

4.108

5.98

6.82

7.52

8.142

9.36

10.64

Step-by-step explanation:

Use rule that a straight line is 180 and a right angle is 90

Which of the following numbers is an integer but not a whole number?
5/9
– 24
-3/5
98

Answers

Answer:

Step-by-step explanation:

the last one

The following numbers that is an integer but not a whole number is the last one 98

answer for brainlist

Answers

I’m pretty sure it rational, whole, and real number

k+8=19 ?????????????

Answers

Answer: 11

Step-by-step explanation:

Answer:

=11

Step-by-step explanation:

Help me plz 2/5 blank = 7/10 plz help

Answers

Answer: 1.75

Step-by-step explanation: Divide .7 by .4

2/5 + 3/10 =7/10? sorry if incorrect

Jake types 168 words in 7 minutes. Sam types 198 words in 9 minutes. Nancy types 125 words in 5 minutes. Who types the fastest?

Answers

Answer:

Nancy types the fastest

Answer:

Nacy

Step-by-step explanation:

Jake types 24 wpm

Sam types 22 wpm

Nacy types 25 wpm

In 9 minutes Jake would type 216 words

In 9 minutes Sam would type 198 words

In 9 minutes Nacy  would type 225 words.

Given this information Nacy types the fastest

Hope this helps :)

7(3x + 5) - 11x. Write your answer in factored form.

Answers

Answer:

5(2x+7)

Step-by-step explanation:

First distribute your 7:

21x +35 - 11x

Combine like terms

10x + 35

Then factor out what you can

5 (2x+7)

Geometric proofs fill in the blanks i really need help plz

Answers

2. Def. angle bisector
3. Angle Addition Postulate
4. Addition Property
5. Multiplication Property
6. Angle Bisector Theorem

what is the reciprocal of 5 fourths

Answers

Answer:

4/5

Step-by-step explanation:

just flip it

4/5 I believe good luck :)

PLEASE HELp:


You are at Coney Island Amusement Park, and burgers
cost $5 and hot dogs cost $3. You and your friends
spend $45. This is modelled by the equation
5b + 3h= 45.
Is the solution (2, 5) a viable solution?
show your work to the left]

Answers

Answer: No, the ordered pair (2,5) is not a viable solution

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

Explanation:

(2,5) means that b = 2 and h = 5

I'm assuming each ordered pair is of the form (b,h) where b comes first, since b is before h in the alphabet.

So if b = 2 and h = 5, then we can replace each letter with those numbers to get the following:

5b + 3h = 45

5*2 + 3h = 45 ..... b replaced with 2

5*2 + 3*5 = 45 ..... h replaced with 5

10 + 15 = 45

25 = 45

We don't get the same number on both sides, so (b,h) = (2,5) is not a solution.

--------------

Put another way:

If b = 2 and h = 5, this means you bought 2 burgers and 5 hot dogs

1 burger = $5

2 burgers = 2*5 = $10

1 hot dog = $3

5 hot dogs = 5*3 = $15

total amount spent = $10 + $15 = $25

total amount spent = $25

This does not match up with the $45 total spent that we're given. So this is another way to see we don't have a solution.

what i 5 + 5
ok
ok
ko

Answers

Answer:

haha The answer is 10!(::

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

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pls help i am on a timer will give a brainlist for the first person to answer it

Answers

Answer: c

Step-by-step explanation:

How long is `50\%` of a 24 hour day

Answers

Answer:

12 hours

Step-by-step explanation:

50/100 x 24 = 12

Answer:

it would be 12 hours.

Step-by-step explanation:

24/2=12

Find the first three iterates of the function f(z) = z2 + c with a value of c = 2 - 3i and an initial value of z0 = 1 + 2i.
a.
-1 + i, 2 - 3i, -17 - 29i
c.
1 + i, 2 + 3i, -17 - 29i
b.
-1 + i, 2 - 5i, -19 - 23i
d.
1 + i, 2 + 3i, -19 - 23i

Answers

Answer:

A

Step-by-step explanation:

Simplify.
4(u-2) - 6

Answers

Answer:

The answer is 4u-14.

Have a great rest of your day!

Answer:

4(u-2) - 6

separate bracket

4u-8-6

4u-14

Explain why square root of -2 is equal to i square root 2

Answers

Answer:

Because square roots aren't really negative. if you multiplied square roots by themselves they can equal positive and negative

Step-by-step explanation:

49 ÷ 7 =
6 × 6 =
38 - 21 =
99 - 63 =
43 + 54 =
55 ÷ 5 =
87 - 44 =
94 - 63 =
144 ÷ 12 =
56 - 24 =
65 - 23 =
27 ÷ 3 =
47 + 31 =
52 + 46 =
70 ÷ 7 =
72 ÷ 9 =
98 - 22 =
42 + 17 =
64 ÷ 8 =
42 + 33 =

Answers

Answer:

use pemdas

Step-by-step explanation:

Answer:

7

32

17

36

97

11

43

31

12

32

42

9

78

98

10

8

76

59

8

75

Step-by-step explanation:

going straight down from the top

Bacteria A has a growth rate of 0.68% per minute. Bacteria B has a growth rate of 0.012% per second. Determine which bacterium has a faster growth rate. Explain.
can someone help me with this

Answers

Answer:

bacteria A

Step-by-step explanation:it is growing at a faster rate

Answer: Bacteria A

Step-by-step explanation:

becasue the growth rate of bacteria a is growing faster than b

Jada has some pennies and dimes. The ratio of Jada's pennies to dimes is 2 to 3. From the information given, can you determine how many coins Jada has? If Jada has 55 coins, how many of each kind of coin does she have?

Answers

Answer:

No, we can't determine how many coins Jada has.

She will have 22 pennies and 33 dimes.

The number of pennies are 22 and the number of dimes are 33.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of Jada's pennies to dimes is 2 : 3.

Total number of coins Jada has 55

Let the number of pennies be 2x and the number of dimes be 3x

Now, number of pennies = 2x/5x ×55

= 22

Then, number of dimes =55-22=33

Therefore, the number of pennies are 22 and the number of dimes are 33.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

1. Simplify using the distributive property: 2(3x + x)

Answers

Answer:

6x+2x

Step-by-step explanation:

Answer:8x

Step by step:

2(3x+x)

=(2)(3x+x)

=(2)(3x)+(2)(x)

=6x+2x

=8x

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