A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladder against the building. What is the angle of elevation for the rescue ladder?

Answers

Answer 1

Answer:

sin-¹(10/11)

Step-by-step explanation:

The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .

We can use ratio sine here. Let the angle of elevation be theta.

In ∆ ABC :-

=> sinθ = p/h

=> sinθ = 100ft / 110 ft

=> sinθ = 10/11

=> θ = sin -¹ ( 10/11) .

Hence the angle of elevation is sin -¹ ( 10/11).
A Fire Department's Ladder Is 110 Feet Long. A Firefighter Is Trying To Reach The Top Of A 100 Foot Building

Related Questions

Can someone plz help me out with this I will really appreciate it no links plz

Answers

Answer:

B

Step-by-step explanation:

1) use a proportion to find how many students chose pizza

30 : 100 = x : 80

x = (80 x 30)/100 = 24

2) use a proportion to find how many students chose salad

10 : 100 = x : 80

x = (80 x 10)/100 = 8

3) solve the question

24 - 8 = 16

Answer:

12 STUDENTS CHOSE HAMBURGERS

24 STUDENTS CHOSE PIZZA

16 STUDENTS CHOSE SANDWHICHES

20 STUDENTS CHOSE HOT DOGS

8 STUDENTS CHOSE SALAD

24 = PIZZA

8 = SALAD

8 - 24 = 16 SO B

i dont know why everything i capitilized sorry haha

Step-by-step explanation:

Draw a triangle of sides 6cm,5cm,4cm.and draw an isosceles triangle of the same area

Answers

Answer:

I think not possible to do

What is the axis of symmetry for the quadratic equation 4x^2-16x+5 plz help

Answers

Answer:

x=2

Step-by-step explanation:

use completeting the square

[tex]4x^2-16x+5=4(x-2)^2-11[/tex]

I NEED HELP ASAP IM TRYING TO STUDY FOR MY STAAR TEST TOMORROW *NO LINKS ALLOWED*

Answers

The answer is B- the other one would be 25y=x

Answer:

C

Step-by-step explanation:

equations for each:

A)  y - x = 25

B)  y = 25x

C)  x = 25y

D)  y = 25 + x

5) A real estate agent sells condominiums for $90,000 each. She earns 4% 6 points
commission. In May, she sold 9 condominiums. How much commission
does she make on each condominium?*
$86,400
$93,600
$32,400
$3,600

Answers

90,000*4%*9=32,400$☺️

Arun walked the 6 2/3 kilometre the first day, 5 5/6 kilometre the second day ,and 5 1/3 km the third day .how much did he walk in all ?​

Answers

Answer:

17 5/6 is the answer.

Step-by-step explanation:

6+5+5=16 + 2/3+5/6+1/3

2/3=4/6

1/3=2/6

2+4+5=11/6=1 5/6

1 5/6+ 16=17 5/6

I did this stuff in like 4th grade

Ira walked 20 miles last week and 22 miles this week. Raj walked 1/3 the distance that Ira walked. Write an expression for the distance Raj walked

Answers

Answer:

Multiply your pace by your distance; If your pace is 9.5 minutes per mile and you ran 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time; If you ran 2.5 miles and you ran for 20 minutes

Step-by-step explanation:

The probability distribution for a
random variable x is given in the table.
-5
3
-2
0
2
3
Probability
.17
.13
33
(16
.10
Find the probability that xs-3

Answers

There are only two possible outcomes in the table that satisfy x ≤ -3; either x = -5 or x = -3. Then

P(x ≤ -3) = P(x = -5) + P(x = -3) = 0.17 + 0.13 = 0.3

What is -7 + 1/3?
Answers:
-7 1/3
-6 2/3
6 2/3
7 1/3

Answers

Answer:

-6 2/3

Step-by-step explanation:

Answer

 - 6   2 / 3

Step-by-step explanation:

answer is - 6  2/ 3

Drag each tile to the correct box. Amanda, Derrick, and Todd attend the same high school. Each student works as the cashier one night a week at the school's concession stand. The number of items sold at the concession stand to the first 20 customers on three different nights is represented on the dot plots below. Find the interquartile range, IQR, for each dot plot. Then, place the students in order from greatest to least IQR.

Answers

Answer:

Amanda > Todd > Derrick

Step-by-step explanation:

Amanda's IQR- 3.5

Derrick's IQR- 2

Todd's IQR- 3

The solution is, ordering the IQR in descending order :

Emma, Sally, Olivia

What is IQR?

The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set. Whereas the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set.

here, we have,

Writing out the points obtained from the dot plot, and applying the relevant formula, the Interquartile range of each dot plot is given below ;

Writing out each score on the dot plot to calculate the statistical values :

Emma's Scores:

6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14

Q1 = 1/4(n+1)th term

Q1 = (5th + 6th) terms

Q1 = (9 + 9) / 2 = 9

Q3 = 3/4(n+)th term

Q3 = (12 + 13) ÷ 2 = 12.5

IQR = Q3 - Q1

IQR = 12.5 - 9 = 3.5

Sally's Scores:

6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14

Q1 = 1/4(n+1)th term

Q1 = (7 + 8) ÷ 2 = 7.5

Q3 = 3/4(n+1)th term

Q3 = (10 + 11) ÷ 2 = 10.5

IQR = Q3 - Q1

IQR = 10.5 - 7.5 = 3

Olivia's Scores:

6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14

Q1 = 1/4(n+1)th term

Q1 = (7 + 8) ÷ 2 = 7.5

Q3 = 1/4(n+1)th term

Q3 = (10 + 10) ÷ 2 = 10

IQR = Q3 - Q1

IQR = 10 - 7.5 = 2.5

Therefore, ordering the IQR in descending order :

Emma, Sally, Olivia

Learn more on IQR :

brainly.com/question/18006476

#SPJ3

complete question:

Drag each tile to the correct box.

Emma, Sally, and Olivia play for the school basketball team. The dot plots show the number of points each of them scored in 20 games.

Find the interquartile range, IQR, for each dot plot. Then, place the basketball players in order from greatest to least IQR.

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Angle 4 is ∠A

Step-by-step explanation:

Cos(A) = adjacent / hypotenuse

=> Angle 1: Cos(1) = 40 / 41, or 0.98 (so this is not ∠A)

=> Angle 2: Cos(2) = 9 / 41 or 0.22 (This isn't ∠A either)

=> Angel 3: Cos(3) = 24 / 25 or 0.96 (Not ∠A)

=> Angel 4: Cos(4) = 7 / 25 or 0.28 (This is Angle A, since Cos(A) = 0.28)

Therefore; Angle 4 is ∠A

Hope this helps!

Answer:

Can't type the Full solution

I'll solve for the triangle with angles 1 and 2

You can go for the rest.

CosA = 0.28

Taking the cos-¹(0.28) to determine its Magnitude

A=73.74°

Now

We can use sine Rule to get the values of each of the other angles in the triangle

For the first triangle

Applying sine rule

What basically happens in the rule is... Each side divided by the angle opposite it.

Look below

The angle opposite 40cm is angle '2' and the angle opposite 41cm is 90°

We have this sine rule when all three sides are given with ONE ANGLE(90° is the given angle in this case)

So

Each side over the angle opposite it

We go!!

Let's call angle "2" an alphabet. Say Q

41/sin90 = 40/SinQ

SinQ = 40sin90/41

Recall sin90=1

SinQ = 40/41

Q= Sin-¹(40/41)

Q= 77.32°

so angle 2 is 77.32°

Now apply this to get others

Angle '1' should be 12.68°

Angle "3" should be 16.26°

Angle "4" should be 73.74°

Therefore

conclusion

Angle "4" is same as A. That's the angle we looking for

Option 4 IS CORRECT!!

Clark is conducting and expermint in which he drains water form buckets. The buckets do not have the same amount of water. Bucket A loses water at the rate of 10 ml per minute. The table represents the water in bucket B. The graph represents the water in bucket C

Answers

Answer:

A - B - C

Step-by-step explanation:

Isabelle and Brenda are selling bunches of tulips.

→ Each bunch has 7 tulips.

→ Isabelle sold 7 bunches.

→ Brenda sold 3 bunches

What is the total number of tulips the friends sold?

A. 21

B. 42

C. 49

D. 70
PLEASE HELP!!!

Answers

c. 49 is the answer i believe.
It’s is D. 70,
It’s asking the TOTAL- 7(7) = 49 + 7(3) =70 total tulips sold combined

Please help me hurry!! 8

Answers

Answer:

r = 7

Step-by-step explanation:

[tex]a =5\\\\a_{3}=245\\\\a_{n}=ar^{n-1}\\\\a_{3}= 5*r^{2} \\\\5*r^{2} = 245\\\\r^{2}=\frac{245}{5}\\\\r^{2}=49 = 7^{2}\\\\r = 7[/tex]

R=7

Explanation I just calculate it

10x+24y=200
y=x+3
Pleas help me

Answers

Answer:

The answer should be x=3.76

Step-by-step explanation:


Which is the expression 4 x 4 x4 x 3 x 3 x 2 x 2 x 2 x 2 written using
exponents?

Answers

4^3 x 3^2 x 2^4 is that answer to the question

Mr chow is buying rolls of paper for the school. This is a lost of the suppliers, the size of their rolls, and their cost per roll. supplier x sells 25 meter rolls for 18.98, supplier y sells 30 meter rolls for 21.89, supplier z sells 40 meter rolls for 29.59 to the nearest cent what is the cost per meter for a roll of paper from the least expensive supplier

Answers

Answer:

0.73

Step-by-step explanation:

cost per meter for a roll of paper = total cost / total meter of rolls sold

Supplier x = 18.98 / 25 = 0.76

Supplier y = 21.89 / 30 = 0.73

supplier z = 29.59 / 40 = 0.74

the lowest per unit cost is 0.73

don bought the bookshelf for 42 dollars this was 3/4 of the regular price

Answers

Answer:

Regular Price = $56

Step-by-step explanation:

3/4 x = 42

42/3 * 4 = x

14 * 4 = 56

x - 56

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

NEED HELP ASAP
there are 16 ounces in 1 pound. Juan is mailing a package that weighs 96 ounces. He wants to know the weights of the package in pounds

Answers

Answer:

Divide, 16.

Step-by-step explanation:

So, lets look at the unit scale.

For every 16 ounces, there are 1 pound.

To convert ounces to pounds, the number must be divide by 16, since there are 16 ounces in one pound.

The first fill in box answer is division.

Next we must ifnd the actual amount of pounds.

We know that the box weights 96 ounces.

Now lets divide this by ounces per pound, and see what we get:

96/16

=

6

So the box weighs 6 pounds.

This is the answer to the second fill in question.

Hope this helps!

Answer: MULTIPLY N AND 16 THE OTHER GUY IS WRONG

Step-by-step explanation:

DID IT ON I-READY

PLEASE ANSWER I NEED LOTS OF HELP!!!!!!!!!!!!!!

Answers

Answer:

40%

Step-by-step explanation:

Rachael liked 36/90 books movies that she watched. This simplifies to 2/5 which is 0.4. To find the percentage, we multiply 0.4 by 100 to get 40%.

Riley has 24 more stickers than Maria.
Create an expression to show the number of stickers Riley has in terms of n by moving terms and symbols to the lines.
Then move a phrase to complete the sentence to define the variable n.

Answers

Answer:

n+24=x

Step-by-step explanation:

Answer: the 8

Step-by-step explanation:

Extend to find solutions that fit a second constraint in the formx *a, where inequality symbol and a is an integer. For example solve 3x + 4 >10, then find integers that satisfy bothx < 6 and 3x +4 >10.

Answers

Answer:

[tex]x = \{3,4,5\}[/tex]

Step-by-step explanation:

Given

[tex]3x + 4 > 10[/tex]

[tex]x < 6[/tex]

Required

Solve

We have:

[tex]3x + 4 > 10[/tex]

Collect like terms

[tex]3x > 10 - 4[/tex]

[tex]3x > 6[/tex]

Divide by 3

[tex]x > 2[/tex]

So, we have:

[tex]x > 2[/tex] and [tex]x < 6[/tex] i.e. between 2 and 6 (exclusive)

This implies that:

[tex]x = \{3,4,5\}[/tex]

please help me rn!! no links!

Answers

Answer:

D

Step-by-step explanation:

A canister contains 12 ounces of flour. When the canister is full, it holds 6 times as much flour.

How many ounces of flour does the canister hold when it is full?

Answers

Answer:

72

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Given A canister = 12 ounces of flour. When full = 6 times more.

To find: How many ounces of flour does the canister hold when it is full?

Solution: With the given data, all that is needed to be done in order to find how many ounces can be held by the canister at its full potential, simply multiply the given data:

12 × 6 = 72

Hence, the canister can hold 72 ounces of flour when it is full.

Please help me with this

Answers

Answer:

128

Step-by-step explanation:

they are parralel

Answer:

the answer is 128 they are parallel

Which of the following is an example of replication?

A. Assigning test subjects to test groups arbitrarily
B. Studying the effects of both therapy and no therapy on students
C. Performing five different studies of the same drug
D. Testing patients by giving them either a new drug or no drug

Answers

Answer:

Step-by-step explanation:

PLS HELP ASAP
Function g is shown on the graph
Which function represents g

Answers

Answer:

 

Step-by-step explanation:

A rock climber is standing at the edge of a cliff looking down into a valley and sees a lion laying 120 feet from
the base of the cliff. The angle of depression of the rock climber to the lion is 35º. How high is the cliff in feet?

Answers

360 degrees
Hope this helps

1. A rubber ball consists of a sphere with 150 small cones protruding from the surface. The volume of the sphere is 50 cubic centimeters. Each cone has a radius of 0.2 centimeters and a height of 0.4 centimeters. What is the total volume of the ball? Round to the nearest hundredth.
A. 60.05 cm3
B. 2.51 cm3
C. 52.51 cm3
D. 50.02 cm3

2. A baker fills a piping bag with frosting to decorate a cake. The bag has the shape of a cone, and the frosting fills the bag to a height of 12 inches and diameter of 5 inches. Approximately what volume of frosting in cubic inches does the piping bag contain? Round to the nearest tenth.
A. 117.8 in3
B. 314.2 in3
C. 78.5 in3
D. 235.6 in3

3. A ski resort creates a three-dimensional model of its logo consisting of two cones. One of the cones has a radius of 6 feet and a height of 12 feet, and the other has a radius of 5 feet and is 23 the height of the first. What is the volume of the model? Round to the nearest hundredth.
A. 661.83 ft3
B. 496.37 ft3
C. 766.55 ft3
D. 1,985.49 ft3

Answers

Can we see a picture before the picture help us more

Answer:

1. C. 52.51 cm3

2. C. 78.5 in3

3. A. 661.83 ft3

Step-by-step explanation:

just finished the quick check

2
Which point on this number line best represents 10?
point A
point B
point C point D

Answers

I would say c because

Answer:

probably 5 because thats half of 10 i guess

Step-by-step explanation:

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