A student standing on top of a building sees a bird flying that is 25ft away and 20 ft above the top of the building. The student also sees a car on the ground at and angle of depression 70°. The car is directly below the flying bird.A diagram of the situation is shown below

A Student Standing On Top Of A Building Sees A Bird Flying That Is 25ft Away And 20 Ft Above The Top

Answers

Answer 1

Answer: The height of the building is 41.2 ft

Step-by-step explanation:

Here we want to find the height of the building.

To do so, the first step is to find the horizontal distance between the student and the car/bird (which represents the common cathetus between the two triangle rectangles).

For the top triangle rectangle, we know one cathetus and the hypotenuse, and we can use the Pythagorean's theorem to find the other cathetus.

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse.

Then we have:

20^2 + B^2 = 25^2

B^2 = 25^2 - 20^2

B = √( 25^2 - 20^2) = 15

Then the horizontal distance between the student and the car is 15ft, and we also know the angle at which this cathetus is adjacent, the angle is 70°.

Then we can use the relationship:

Tan(A) = (opposite cathetus)/(adjacent cathetus)

Where the opposite cathetus woud be the height of the building, then:

Tan(70°) = H/15ft

Tan(70°)*15ft = H = 41.2 ft


Related Questions

Find the missing side?

Answers

Answer:

Hey there!

Pythagorean Theorem: a^2+b^2=c^2

16+25=c^2

41=c^2

c=6.4

Let me know if this helps :)

Help the question is in this picture

Answers

Answer: C

Step-by-step explanation:

Answer:

7x^2+2x+3

Step-by-step explanation:

Add all the like terms

Write the following numbers in Scientific Notation.

1. The current United States national debt is about $26.5 trillion.



2. The speed of light is about 299,000,000 meters/second.



3. The diameter of an atom is approximately 0.0000000001 meters.



4. Suppose you want to download a file that is 2.6 gigabytes. If you have an average download speed of 30 megabytes/second, how long will it take to download the file?

Answers

Answer:

29.9 to the 6th power for number 2

0.1 to the -9 th power

i think lol

its better than ?

Step-by-step explanation:

Simplify the expression: 5(n − 6)

Answers

Answer:

5n-30

Step-by-step explanation:

5 times n= 5n. 5 times -6 is -30. 5n-30.

in the standard (x,y) coordinate plane, what is the slope of the line 4x+7y=9?​

Answers

Answer: -4/7

Step-by-step explanation:

To find the slope, let's change the equation to slope-intercept form.

[tex]4x+7y=9[/tex]              [subtract both sides by 4x]

[tex]7y=-4x+9[/tex]           [divide both sides by 7]

[tex]y=-\frac{4}{7}x+\frac{9}{7}[/tex]

Now, we know the slope is -4/7.

What is the value of n?

Answers

It is a because I got 85

Hank is a salaried plus commission employee. Hank has a monthly salary of $2,500 and earns 5.5% commission on all
sales. Which of the following expressions represents Hank's total earnings in one month if he has $6,300 in sales?
a. 2,500 + (0.055)(6,300)
b. 2,500 + (5.5)(6,300)
C. (2,500) (5.5) + 6,300
d. (2,500) (0.055) + 6,300

Answers

Answer:

the answer is A.

Step-by-step explanation:

took the test just now

The right expression for the salary will be 2500 + (0.055)(6300). The correct option is A.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Hank is a salaried plus commission employee. Hank has a monthly salary of $2,500 and earns a 5.5% commission on all sales.

The expression for the salary can be written as below:-

Salary = 2,500 + (0.055)(6,300)

Here part 2500 will be the fixed salary and (0.055)(6300) will be commission part.

Therefore, the right expression for the salary will be 2500 + (0.055)(6300). The correct option is A.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ6

help? 5/12 + 5/8

(spam cause i need 20 characters)

Answers

Answer:

1 1/24

Step-by-step explanation:

5/12 + 5/8

We need a common denominator of 24

Convert the first number to have a denominator of 24

5/12 *2/2 = 10/24

Convert the second number to have a denominator of 24

5/8*3/3 = 15/24

Add the two converted numbers together

10/24 + 15/24

25/24

Change from an improper fraction to a mixed number

24/24 + 1/24

1 1/24

Answer:

25/24

Step-by-step explanation:

5/12 * 1 = 5/12

1 = 2/2

5/12 * 1 = (5/12) * (2/2) = (5*2)/(12*2) = 10/24

3/3 = 1

5/8 * 1 = (5/8) * (3/3) = (5*3)/(8*3) = 15/24

then:

(5/12) + (5/8) = (10/24) + (15/24) = (10+15) / 24 = 25/24

Standard Form When a polynomial is written in order from the ________________ exponent to the ________________exponent

Answers

Answer:

largest

Smallest

Step-by-step explanation:

The manager of a movie theater randomly surveyed 50 people who entered the movie theater on Friday. The manager asked about the
type of movie each person preferred. The results of the survey are shown in the table.
Survey Results
Type of Movie Number of People
Horror
12
Comedy
15
Action
17
Drama
6
Based on the results in the table, which statement about a person who will go to this theater next Friday is true?
O A. The person is three times as likely to prefer comedy as horror.
OB. The person is twice as likely to prefer drama as horror.
o C. The person is less likely to prefer horror or drama than action.
D. The person is more likely to prefer horror or comedy than action or drama.

Answers

Answer:

D.

Step-by-step explanation:

Horror (12) + Comedy (15) = 27

Action(17) + Drama(6) = 23

27 > 23

The statement that is true is a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As is given that the total number of people surveyed is 50, while the table suggests the preferences of the people about the movie.

Therefore, if take the probability of a person watching a horror or comedy movie it will be,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

[tex]\rm Probability=\dfrac{\text{Number of people preferring Horror or comedy}}{\text{Total Number of people surveyed}}\\\\Probability = \dfrac{12+15}{50} = 0.54[/tex]

The probability of a person watching an action or drama movie it will be,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

[tex]\rm Probability=\dfrac{\text{Number of people preferring Action or drama}}{\text{Total Number of people surveyed}}\\\\Probability = \dfrac{17+6}{50} = 0.46[/tex]

Since the probability of a person watching a horror or comedy movie is more, therefore, a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.

Thus, the statement that is true is a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.

Learn more about Probability:

https://brainly.com/question/795909

Alondra deposits 1/2 of the money she earns from working at her uncle’s mechanic shop and 3/4 of her baby-sitting money into her savings account. In one month she earned $250 at her uncle’s shop and received $80 for baby-sitting. How much did she deposit in her savings account that month? Group of answer choices need answer quick

Answers

Answer:

$185

Step-by-step explanation:

First, find the amount that she deposited from her uncle's shop:

250(1/2)

= 125

Then, find how much she deposited from baby sitting:

80(3/4)

= 60

Add these 2 values up:

125 + 60

= 185

So, she deposited $185 that month

she would deposit $185

what is 50000000 divided by 5000000

Answers

Answer:

10

Step-by-step explanation:

because if you divide it by it self that is what it is

Answer:

10

Step-by-step explanation:

50 million divided by 5 million would be 10. what you do is if the 5 is the same then it is one, after that since 50 million has 1 more zero then 5 million then you add a zero to the right of one. Therefore the answer is 10.

hope I helped.

A batch of 400 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement from the batch. 26. What is the probability that the second one selected is defective given that the first one was defective? HINT: Note that you are only calculating a probability for the second draw conditional on what happened in the first draw. 27. What is the probability that both are acceptable? 28. If three are selected without replacement, what is the probability that all three are defective?

Answers

Answer:

0.0100250

0.0001566

0.0000009445555

Step-by-step explanation:

Given the following :

Total number of containers = 400

Number of defective oranges = 5

2 are randomly selected without replacement :

A.) What is the probability that the second one selected is defective given that the first one was defective?

Since selection is without replacement and given that the first pick is defective ; number of defective oranges left = 4 ; total oranges left in container = (400 - 1) = 399

Hence,

Probability = (required outcome / Total possible outcomes)

P(2nd defective given 1st is defective) = 4 / 399

27. What is the probability that both are acceptable?

This means probability that both picks aren't defective.

Ist pick = 1 - P(defective) = (1 - (395/400) = 0.0125

2nd pick = 1 - P(defective) 1 - (394/399) = 0.0125313

.Hence, 0.0125 × 0.0125313 = 0.0001566

28. If three are selected without replacement, what is the probability that all three are defective?

1st pick = 5 / 400 = 0.0125

2nd pick = 4 / 399 = 0.0100250

3rd pick = 3 / 398 = 0.0075376

Hence, (0.0125 × 0.0100250 × 0.0075376) = 0.0000009445555

write 14,000,000,000 in powers of 10

Answers

Answer:

Step-by-step explanation:

1.4 x 10^10

There are 321 crayons in a box and 204 crayons on the floor. About how many fewer than 1,000 crayons are there? Estimate. Then solve. The estimated number of crayons fewer than 1,000 is . The exact number of crayons fewer than 1,000

Answers

Answer:

See below

Step-by-step explanation:

The estimated number:

300 + 200 = 500

The difference between the estimated number an 1000 is:

1000 - 500 = 500

The exact number:

321 + 204 = 525

The difference between the exact number and 1000 is:

1000 - 525 = 475

Your math test scores are 76, 85, 92, and 63. What is the lowest score you can earn on the next test and still achieve an average of at least 75?

Answers

Hey there! I'm happy to help!

We have 5 test scores that give us an average of at least 75.

76, 85, 92, 63, x

We add these all up and divide by 5 to get 75.

Let's go backwards to find x.

We multiply by 5.

75(5)=375

We subtract all of the numbers except for x.

375-76-85-92-63=59

So, you need to earn at least 59 on the next test to achieve an average of at least 75.

Have a wonderful day! :D

I need help I don't get this question

Answers

Answer:

6 Books

Step-by-step explanation:

If he read 3 books for 8 week that is 24 books and then 30-24 is 6

Answer:

6 more books

Step-by-step explanation:

8*3 is 24 and he needs to read 30 books so 30-24 is 6, so he needs to read 6 more books.

HI this is problably the hardest question for me to do in my head without Alexa or google but here's my question " I get money for my grades I have 7 classes, and each A+ gives me 10 dollars (lets just say I'm a perfect student and get A's always) but I only get money on my final grade, every final grade appears every 9 weeks" so here's the thing how much money can I get before the year ends?

Answers

9 x 10 x 7 = 630

In a perfect world, you would earn $630

14. Food bill: $80.40
Sales tax: 5%
Tip: 10%

Answers

Answer:

Determine the total coast

             total cost=orignal price+sale tax+tip    Write the formula

             =80.40+5% . 80.40+10%.80.40               subtitute the values

             =80.40%0.05.80.40+0.10.80.40             Show percent as decimal

             =80.40+4.02+8.04                         Multiply the values

             =92.46                                    Add the values

Step-by-step explanation:

Can someone help me thats really good at math and knows what there doing). Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years. Enter an inequality that can be used to represent this situation in tbe box, where x represents Victoria's neighbor's age. ( Will Mark Brainliest need to get an excellent grade​

Answers

v is 4 more tha x

v=4+x

sum is no more than 14

v+x≤14

sub 4+x for v

4+x+x≤14

4+2x≤14

minus 4 both sides

2x≤10

divide both sides by 2

x≤5

5+4=9

the neighboor's age is  5 years

and victoria is 9

If you get it right I will give brainiest.

Answers

C) f(x) = 100 - 68x is the answer

How to solve this question ?

Answers

Step-by-step explanation:

eight times the difference of 2 and a number would be 8 × (2-x)

b/4 + 1/7 = 15, what is b?

Answers

Answer:

b= [tex]\frac{416}{y}[/tex]    =  59.429

Answer:

b = 416/7

Step-by-step explanation:

b = 416/7 or you could say 59.4

Choose the correlation coefficient that would best fit the data in the scatter plot below."
600
500 -
Max distance to read sign
400
300 -
15
25
35
45
75
85
55 65
Driver Age (years)
41
78
98
no correlation
-78
35

Answers

I have no idea sorry died

What is 6 5/7 as a improper fraction What is 6 5/7 as a improper fraction?

Answers

Answer:

47/7

Step-by-step explanation:

6 5/7

=6×7+5/7

=47/7

The value of improper fraction is, 47/7.

What is Fraction?

The number is expressed as a quotient in which the numerator is divided by the denominator is called fraction.

We have to given that;

The fraction is,

⇒ 6 5/7

Now, We can write the improper fraction as;

⇒ 6 5/7

⇒ (6×7 + 5) / 7

⇒ 47 / 7

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ2

What is the answer to 4/15 - 1/9?

Answers

Answer:

7/45

Step-by-step explanation:

I hope this helps!

The answer to 4/15 - 1/9 is 7/45

which table has a constant of proportionality between Y and X of 1/6?

Answers

Answer:

C.

Step-by-step explanation:

Hope it helps!!

Answer:

C

Step-by-step explanation:

khan also person above

4. Thoughtful Politicians [This problem setting is due to Prof. James Norris of Cambridge University.] In a group of 100 politicians, 40 are in Party I and 60 are in Party II. Members of Party I are incapable of changing their minds about anything. Members of Party II change their minds completely randomly every day, independently of all others and also independently of all evidence. Tomorrow, the politicians are going to vote on Proposition 88. Here is a summary of their opinions today. Of the 40 members in Party I, 25 are in favor of Prop 88 and 15 are against. Of the 60 members in Party II, 10 are in favor and 50 are against. Assume that each member in Party II changes their mind based on the toss of a coin: if it lands heads they switch to the opposite opinion and if it lands tails they don't change their mind. a) What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow

Answers

Answer:

Step-by-step explanation:

The focus is on Party 2, because as already said, Party 1 members NEVER change their minds on anything!

There are 60 politicians in Party 2. They change their minds completely-randomly every day.

Tomorrow, the politicians will vote on a proposition: Proposition 88, but today, 10 are in favor of it while 50 are against it.

Each member changes their mind based on the toss of a coin (a fair/unbiased coin; since it was not stated that the coin is biased). A fair coin has a 0.5 probability of landing HEADS and same 0.5 probability of landing TAILS.

What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow?

The number of figures in the distribution will depend on the number of times the coin is tossed, between today and tomorrow.

KEY: Assuming the coin is tossed 12 times between today and tomorrow AND assuming that half of the time - 6 times - it landed HEADS and half of the time, TAILS (Head and Tail simultaneously).

Beginning with HEADS, the distribution of the number of members who will favor the proposition tomorrow, is:

50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10

x/2 - 4=-16 wha would x equal

Answers

Answer: -24

Step-by-step explanation:

x/2= -16+4

x/2= -12

x= -12 x 2

x= -24

Answer:

x = -24

Step-by-step explanation:

Add the same term to both sides of the equation

Simplify

Multiply all terms by the same value to eliminate fraction denominators

Simplify

Bob and Tom each have a bag of 100 chocolate candies. Bob has 53 left and Tom has
Part A
Color in each picture to show how many pieces of candy each boy has left
Bob
Tom
Part 3
Use decimals and symbols to show which boy has more candies left
В І цах, х
2020 luminate Education in

Answers

Answer:

He has 47

Step-by-step explanation:

if one guy has 50 it wold make sense to give the other 50 but since he has 53 then he must have 47

Other Questions
6. In what year did Columbus sail to the Americas with the Pinta, Nina, and 1 pcSanta Maria? * Describe one mental/emotional change that occurs during adolescence. Which statement uses the denotative form of the word snake? (5 points) aHe took my savings, the snake, and then seemed to totally disappear. bThe salesman seemed smooth and deadly as a snake to the customers. cShe moved fast like a snake but fortunately did not enjoy eating live mice. dThe snake we discovered hiding in the woodshed was nearly seven feet long. LaTeX: 5+\sqrt{81}\div9 What did Rutherfords model of the atom include that Thomsons model did not have? a nucleus energy levels electron clouds smaller particles PLEASE HELP!! 50 POINTS!!! WILL MARK BRAINLEST!!!!Think of a chemical reaction that you've seen in your daily life. Write a 3-5 sentence paragraph, explaining what it is and how you know it was a chemical reaction. Is skin or bone more elastic? why? Help me please this is very important How do you think scientists are able to make connections between modern organisms and their ancestors? simply 4x+6=6(x+1)-2x You can buy 3 apples at the Quick Market for $1.05. You can buy 5 of thesame apples at Stop and Save for $2.30. Which place is the better buy? Victor is saving for a used car that costs $8,000. He plans to save $500 every month. Calculate how long it would take him to save to buy the car? the question is : which of the following is considered to be an advantage of a partnership form of business organization? Find the equation of the line in slope intercept form parallel to 5x5y=2 and goes through the point (10,4) y=? A crayon is 4 inches long. A wooden board is 8 feet long. Which diagram and statement best represents their lengths? Is it a good thing to get revenge Solve the following equation. Show all steps. 4(3y 6) = 3(8 4y) Why arent there many fossil jellyfish? Are the fractions 7/9 and 4/9 like fractions? Jeremy bought 3 pairs of pants that cost the same amount of money. He had a $10 off coupon for the pants. Using the coupon, Jeremy spent $35. Find the cost of each pair of pants before the coupon wasapplied (Don't forget your units!) PLEASE REPLY ASAP