A ladder leans against a building, making a 70° angle of elevation with the ground. The top of the ladder reaches a point on the building that is 39 feet above the ground.
To the nearest tenth of a foot, what is the distance between the base of the building and the base of the ladder?

Question 4 options:

13.3 ft


14.2 ft


36.6 ft


41.5 ft

Answers

Answer 1

Answer:

14.2feet

Step-by-step explanation:

Given the following

Angle of elevation = 70degrees

Height of the building from the ground = 39feet (opposite)

Required

distance between the base of the building and the base of the ladder (adjacent)

Using the SOH CAH TOA identity

Tan theta = opp/adj

Tan 70 = 39/d

d = 39/tan 70

d = 39/2.7475

d =  14.2

Hence the distance between the base of the building and the base of the ladder is 14.2feet


Related Questions

Solve for [?]. Assume that lines which appear tangent are tangent.

Answers

Answer:

Step-by-step explanation:

Since the problem stated that the 2 lines are tangent, you can then tell that the triangle is a right triangle.

By using the Pythagorean Theorem, the missing side, "x", is equal to [tex]\sqrt{8.4^2+11.2^2}[/tex], which equals 14

Find the value of x.

Answers

answer: x=66
explanation: x+(x-20)+(2x+10)+(x+40)=360
5x+30=360
5x=330
x=66

rewrite each fraction with a denominator of 10 7/2=? 3/5=?​

Answers

the answer is 35/10 and 6/10

find the value of each variable

Answers

Answer:

Step-by-step explanation:

12.)

x = 18

y = 9√3

14.)

x = 16/√2

y = 16/√2

16.)

x = 19

y = 19

Gloria, Teresa, and Rebecca went to an office supply store. Gloria bought 8 pencils, 4 markers, and 6 erasers. Her total was
$22.00. Teresa spent $19.25 buying 5 pencils, 7 markers, and 8 erasers. Rebecca bought 5 pencils, 5 markers, and 4
erasers for $15.75. What is the cost of each item?

Answers

The answer is $20.00

I'll give points + brainalist please help this is a finals test and I'm on a time limit (:

Answers

My guess would be 130 but I have no idea

Micah and Lucy are in the school play.
Micah memorizes 12 lines of the script the first day and 10 lines each day after that.
Lucy memorizes 8 lines of script the first day and 12 lines each day after that.
What ordered pair represents the total number of lines they have memorized after 5 days?
(12, 8)
(40, 48)
(50, 60)
(52, 56)

Answers

Answer:

(52,56)

Step-by-step explanation:

The corner store sells one of its magazines for $ 6.75 including tax. On one weekend the store collected $ 114.75nfrom the sale of this particular magazine. What expression can be used to find the number of magazines, n, sold by the store for that weekend?

6.75÷114.75=n
6.75÷n = 114.75
6.75n=114.75
6.75 + n= 114.75​

Answers

9514 1404 393

Answer:

  (c)  6.75n=114.75

Step-by-step explanation:

If one magazine sells for 6.75, then n magazines will sell for a total of 6.75n. That total is said to be 114.75, so we have ...

  6.75n = 114.75

What is the domain of f(x) = 9 - x^2

Answers

Answer:

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

,

)

Set-Builder Notation:

{

x

|

x

R

}

Locate the vertex of the parabola.

Tap for more steps...

(

0

,

9

)

The range of a parabola that opens down starts at its vertex  

(

0

,

9

)

and extends to negative infinity.

Interval Notation:

(

,

9

]

Set-Builder Notation:

{

y

|

y

9

}

Determine the domain and range.

Domain:  

(

,

)

,

{

x

|

x

R

}

Range:  

(

,

9

]

,

{

y

|

y

9

}

image of graph

(-♾, ♾)
(negative infinity, infinity)

Howdoyouwrite
63
100
as percentage?

Answers

Answer:

Do you mean 63 over 100? If it you mean that the answer is 63%

At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?​

Answers

Yes let’s do that with the

We can expect only 1 customer that would want mustard.

What is probability?

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

Given that, 2 of the last 12 customers wanted mustard on their hot dogs, we need to determine the number of customers would expect to want mustard,

So,

6 x 2 / 12

= 12/12

= 1

Hence, we can expect only 1 customer that would want mustard.

Learn more about probabilities, click;

https://brainly.com/question/30034780

#SPJ2

help help please i will mark u brill

Answers

Answer:

Step-by-step explanation:

u/4 + 9.9 = 16.9

Putting value of u = 24 in the equation

24/4 + 9.9 = 16.9

6 + 9.9 = 16.9

15.9 = 16.9

Bringing like terms on one

16.9 - 15.9 = 1

Step-by-step explanation:

u/4 + 9.9 = 16.9

Putting value of u = 24 in the equation

24/4 + 9.9 = 16.9

6 + 9.9 = 16.9

15.9 = 16.9

Bringing like terms on one

16.9 - 15.9 = 1

Manny buys hot dog buns for a cookout. he needs 30 buns and he buys bags of 8 buns. how many bags does manny need?

Answers

Answer:4

Step-by-step explanation:

30÷8=3.75

3.75=4

Manny need 4 bags.

A number squared, then increased by 4, I need the equation.

Answers

See order to find out ave dvide is to research and hive

What is the equation of a line with a slope of -1 and a y-intercept of -5?
A. y=-x-5
B. y=-x + 5
C. y = -5x-1
D. y=-5x+1

Answers

A because the slope goes in front of x while y intercept is always after.

Answer:

Hi! The answer to your question is A. y=-x-5

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this Helps!!

Stay Safe!!

- Brooklynn Deka

carla has a red shirt, a pink shirt, and a white shirt. She has blue jeans, yellow jeans, and black jeans. She also has solid colored shoes and striped colored shoes. How many different combinations can she make?​

Answers

Answer:

15 different pairs.

Step-by-step explanation:

I hope this helps. :D

Help me please. I need it rn​

Answers

Answer:

We have

selling price=Discount + sales price

discount=discount rate×selling price.

discount=discount /selling price ×100%

Sales price =selling price - discount

Mark of price=mark up price rate ×original price

Selling price:mark of price + original price

commission amount=commission rate ×total sales

simple interest=principal amount ×rate×time/100

Paul sells chocolate chip cookies and peanut butter cookies. Baking a batch of chocolate chip cookies takes 1.75 cups of flour and 2 eggs. Baking a batch of peanut butter cookies takes 1.25 cups of flour and 1 egg. Paul has 10 cups of flour and 12 eggs. He makes 4$ profit per batch of chocolate chip cookies. He makes 2$ profit per batch of peanut butter cookies. How many batches of peanut butter cookies should Paul make to maximize his profit? A. 1 B. 2 C. 5 D.8

Answers

Answer:8 easy

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

1.25 x 8 = 10 Cups of Flour

1 x 8 = 8 Eggs

2 x 8 = $16

What are the mean, median, mode, and range of the data set given the altitude of lakes in feet
-11, -28, -17,-25, -28, -39, 6, and -46?
mean = -25, median=-26.5, mode=-28; range = 40
mean=-25, median=-40, mode=-26.5, range=28
mean = -26.5, median =-25; mode=-28, range = 28
O mean = -26.5, median = -28, mode =-25; range = 40

Answers

Answer:

Mean (Average) = -23.5

Median = -26.5

Mode = -28

Range = 52

Step-by-step explanation:

Mean is found when adding all numbers and dividing the outcome by the number of numbers, so -

-11 + -28 + -17 + -25 + -28 + -39 + 6 + -46 = -188

-188 ÷ 8 = -23.5

Median is found in the center, and can be found ordered from least to greatest -

-46, -39, -28, -28, -25, -17, -11, 6

last 2 remaining number would be -28 and -25, add those and divide by 2 which gives you -26.5.

The Median would be -26.5

Mode is the number that has repeated itself the most.

-28 repeated itself the most.

The Range is found when the least number is subtracted by the greatest number so -

6 - (-46) = 52

In the photo, are these 2 answers the same thing?

Answers

i’m gonna guess no? sorry if i got it wrong

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options

Answers

What’s the options ?

what numbers multiply to give 100 and when summed up give 25................................​

Answers

It’s 3 times 25 plus 74

Solve for x.
8 12
24
Х
x= ? ]

Answers

Answer:

x=44

Step-by-step explanation:

-4x+5>-5 solve the equation is it greater than or less than

Answers

Answer:

x>5/2

Step-by-step explanation:

-4x+5>-5

-4x>-10

4x>10

x>10/4

x>5/2

What is one-fifth of a number, x, increased by 24 is equal to eight tenths of the same number, x.

Answers

Answer:

x = 40

Step-by-step explanation:

(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x

0.2x + 24 = 0.8x

0.2x - 0.2x + 24 = 0.8x - 0.2x

24 = 0.6x

0.6x = 24

0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]

x = 40

Answer:

x=40

Step-by-step explanation:

1/5x+24=8/10x

give like denominators

2/10x+24=8/10x

subtract 2/10x on both sides

24=6/10x

divide 24 by 6/10, or multiply by 10/6

x=240/6

refine/simplify

x=40

A certain car depreciates at
a rate of 14% per year. If the
purchase price of the car is
$26,000, what will the value
of the car be in 6 years?

Answers

It will be worth $10,518.75

Solve the system of equations.




5y−4x=−7
2y+4x=14

Answers

x would equal 3 and y would equal 1. put it like this: (3,1)

Math

A cookie cutter shark is 0.4 meter long, and a thresher
shark is 6 meters long. How many times as long as the
cookie cutter shark is the thresher shark?

Answers

the thresher shark would be 15 times as long as the cookie cutter stark because 6 divided by .4 would equal 15

Make x the subject of the formula
х
+12c = 5d
63

Answers

x=5db^3-2cb^3
Workup in photo below.
Good luck

According to the scatter plot shown, what approximate income should a 24-year old have?
Income
45,000
40.000
35,000
30,000
25.000
20,000
15,000
10,000
5,000
O
16 18 20 22 24 26 28 30 32
Age
$35,000
$25,000
$20,000
$30,000

Answers

Answer:

25,000

Step-by-step explanation:

Other Questions
Jeans cost $38. The tax is 8% what is the total cost?Reporting if wrong, please explain. How do shale oil and tar sands compare to conventional(regular) oil deposits? im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points Posts that you delete _____.cannot ever be sharedwill be released in five yearsare still visible to othersmay already have been shared if 57eight=233x,find x 11 1/3 as a number ?????? Help! Plz thank you!!!! Basquiat painted about what he witnessed and experienced as a young person living in NYC: racial inequity, police brutality, social class, rich versus poor. If he were alive today, what might he paint about? can someone help me in my IT (information technology) homework I am in 9th class and i will send the questions TRUE OR FALSEAll of the elements on Earth, except for hydrogen, were formed in the interiors of stars. How do divisions in the geologic time scale differ from the way we organize time using a clock? Ok, I'm going to do this question again. Can someone PLEASE help me. This is due and I need to get it done. Answer it right please. Which of the following is a molecule with more than one element?O AtomO BacteriaO CompoundOrganism what are two types of energy used to break down compounds ... A person has 5 coins in their pocket. A dime, 2 pennies, a quarter, and a nickel. If a person randomlypicks one coin out of their pocket. What would the probability be that they get a penny?HELP ME PLSSSSS Find the area of each figure. Answer asap Please help its due and I cant lose these 39 points In the morning, the number of ducks at the reservoir was 80. By noon, the reservoir had 135 ducks. What was the percent of change in the number of ducks? Round your answer to the nearest whole percent. Five times a number is the same as 30 more than 8 times the number. Find the number. If n is "the number," which equation could be used to solve for the number? 3n = 30 5n + 8n = 30 5n = 8n + 30 Ms Smith had placed all stationery in the pouch. change active into passive voice