A high fountain of water is located at the center of a circular pool. Not wishing to get his feet wet, a student walks around the pool and measures its circumference to be 15m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation at the bottom of the fountain to be 55°. How high is the fountain?

Answers

Answer 1

Answer:

The fountain is 3.43 m high.

Explanation:

Circumference of the pool = 15 m.

C = 2[tex]\pi[/tex]r

where C is the circumference and r its radius.

r = [tex]\frac{C}{2\pi }[/tex]

 = [tex]\frac{15}{2(\frac{22}{7}) }[/tex]

r = 2.3864

radius of the pool = 2.40 m

So that the height of the fountain, h, can be determined by applying trigonometric function.

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan 55 = [tex]\frac{h}{2.4}[/tex]

h = Tan 55 x 2.4

  = 1.4282 x 2.4

  = 3.4277

h = 3.43 m

The height of the fountain is 3.43 m.


Related Questions

PLEASE HELP EMERGENCY!!!
Which statement represents a correct hierarchical organizational relationship
among living things?
A Organs make up cells and cells make up atoms.
B Atoms make up tissues and tissues make up cells.
C Cells make up organs and organs make up tissues.
D Cells make up tissues and tissues make up organs.

Answers

Answer:

Living things are highly organized and structured, following a hierarchy that can  A molecule is a chemical structure consisting of at least two atoms held In larger organisms, cells combine to make tissues, which are groups of  An organ system is a higher level of organization that consists of functionally related organs.

Explanation:

Living things are highly organized and structured, following a hierarchy that. A molecule is a chemical structure consisting of at least two atoms held In larger organisms.

What is Living organisms?

Cells combine to make tissues, which are groups of  An organ system is a higher level of organization that consists of functionally related organs.

The fact that all living things are composed of cells—which are regarded as the foundation of life—is what first distinguishes them from other types of organisms. The remarkable thing about cells is that, despite their small size, they can join together to build extremely vast structures.

Multicellular organisms are extraordinarily sophisticated creatures with amazing cellular organization. This organization starts deep within your DNA and reaches all the way up to you as an individual.

Therefore, Living things are highly organized and structured, following a hierarchy that. A molecule is a chemical structure consisting of at least two atoms held In larger organisms.

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a celebrity i would like to meet mind map​

Answers

Answer:

I would wanna meet juice if he was still alive ofc

Explanation:

I would like to meet Micheal Jackson, he was the sweetest person ever! And one of the best artists in the world! :)

A child sits 2 meters from the center of a merry-go-round rotating with a
tangential velocity of 0.8 m/s. If the force that maintains the child's circular
motion is 25 N, what is the mass of the child?

Answers

The mass is 7.81 kilograms

What is the mass of an object going 25 m/s and has a momentum of 140
kg m/s?

Answers

Answer:

The answer would be 5.6 kg of a mass.

Explanation:

p= mv

m= p/ v

The explanation of that is:

momentum = mass× velocity

mass= momentum / velocity

Hope this helped!

1. A wave travels at 1,500 m/s with a frequency of 5 hertz. What is its wavelength?
a. 7,500 m
b. 1,505 m
c. 300 m
d. 1,495 m
2. Humans can hear thunder at different frequencies. These correspond to wavelengths ranging from 2.75 to 16.5 meters. If the speed of sound is approximately 330 m/s, what frequencies of thunder can humans hear?
a. 2.75 to 16.5 hertz
b. 907.5 to 5,445 hertz
c. 20 to 120 hertz
d. 0.0083 to 0.05 hertz
3. Two similar waves X and Y travel through the same medium. Wave X has a frequency of 200 hertz and a wavelength of 35 meters. Wave Y has a frequency of 700 hertz. What is the wavelength for wave Y?
a. 4,900,000 meters
b. 122.5 meters
c. 0.1 meter
d. 10 meters
4. California sea lions communicate underwater at frequencies ranging from 500 to 4,000 hertz. The speed of sound in sea water is approximately 1,500 m/s. What are the approximate wavelengths of sound with which the California sea lions communicate?
a. 750,000 to 6,000,000 meters
b. 0.375 to 3 meters
c. 2,000 to 5,500 meters
d. 0.33 to 2.66 meters

Answers

With the use of wave speed formula, below are the answers to the questions

1. C

2. C

3. D

4. B

All the question centered on wave speed, wavelength and wave frequency. The relationship between these three quantities is;

wave speed = wavelength x frequency

That is,

V = Fλ

1. The given parameters are;

V = 1,500 m/s

F = 5 Hz

wavelength λ = V/F = 1500/5 = 300 m

2.) Given that the wavelengths ranging from 2.75 to 16.5 meters and the speed of sound is approximately 330 m/s

When wavelength = 2.75 m

F = V/ λ = 330 / 2.75 = 120 Hz

When wavelength = 16.5 m

F = V/ λ = 330 / 16.5 = 20 Hz

Therefore, the frequencies of thunder humans hear ranges from 20 Hz to 120 Hz

3.) Since the two waves are similar, they will be travelling at the same speed. That is,

Wave speed of X = Wave speed of Y

For wave X and Y respectively;

F = 200 Hz and 700 Hz

λ = 35 m and λm

Find λ of Y by equating the two wave speed. That is,

Fλ for X = Fλ for Y

200 x 35 = 700 λ

λ = (200 x 35)/ 700

λ = 7000 / 700

λ = 10 m

Therefore, The wavelength for wave Y is 10 m

4.) Given that the sea lions  frequencies are ranging from 500 to 4,000 hertz. And the speed of sound in sea water is approximately 1,500 m/s

By using the same formula,

V = Fλ

Make wavelength the subject of formula

λ = V / F

When F = 500 Hz

λ  = 1500/500 = 3 m

When F = 4000 Hz

λ =  1500/4000 = 0.375 m

Therefore,  the approximate wavelengths of sound with which the California sea lions communicate is of the range 0.375 m to 3 m

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When hit with a bat which ball will accelerate more?

A 2kg ball
A 15kg ball
A 10kg ball
A 5kg ball

Answers

2kg ball
A=f/m
Higher mass is less acceleration

The table below shows some properties of germanium, discovered in 1886 by Clemens Winkler.
Germanium was Mendeleev's predicted eka-silicon. Why did its discovery support Mendeleev's ideas?
Help me​

Answers

Answer:

i dont know but what i could say is you could go on  and ask the question and it would help you

Explanation:

A ball has 17 J of kinetic energy and its mechanical is 25 J
If the ball has a mass of 3.2 KG what is it’s height above ground?

Answers

Answer:

0.255m

Explanation:

The total mechanical energy of the ball is given 25 J. The potential energy of the ball is 8 J. Then, the height of the ball above the ground is 0.25 m.

What is kinetic energy ?

Kinetic energy of an object is the energy generated by virtue of its motion whereas potential energy is generated by virtue of its position at a height from the ground.

The sum of kinetic and potential energy of the object is called its mechanical energy.

given Ke of the ball = 17 J

mechanical energy = 25 J

then potential energy = 25 J - 17 J = 8 J.

We have the relation between potential energy, mass and height h as :

p = mgh .

given the mass m = 3.2 kg

g = 9.8 m/s²

then, h = p / (mg)

h = 8 J / (3.2 kg× 9.8 m/s² )

  = 0.25 m.

Therefore, the height of the ball above the ground is 0.25 m.

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The hierarchy of traits is a structured progression of personality that begins with a few higher-order traits that result in
several lower-order traits, determining a person's response in a specific situation.
Please select the best answer from the choices provided
OT
OF

Answers

Answer:

true

Explanation:

hope u find this helpfull

the condition required to work to be done​

Answers

Answer:

work=f(costheta)

Explanation:

work is done when a force acts on a body and displaces it on the direction of force

True or false your vocal cords act like a guitar string when it comes to sound

Answers

Answer:

True

Explanation:

The answer to this question is true

is the us warmer than antarctica?

Answers

Answer:

Yes

Explanation:

Antarctica is usually always cold.

Which best represents the reaction of calcium and zinc carbonate (ZnCO3) to form calcium carbonate (CaCO3) and zinc? Ca → ZnCO3 + CaCO3 → Zn Ca + ZnCO3 → CaCO3 + Zn CaCO3 + Zn → Ca + ZnCO3 CaCO3 + Zn + Ca → ZnCO3

Answers

Answer:

Ca + ZnCO3 → CaCO3 + Zn

Explanation:

Ca + ZnCO₃ = CaCO₃ + Zn

Ca + ZnCO3 → CaCO3 + Zn is the answer.

Here Ca and ZnCO₃ are reactant and CaCO₃ and Zn are product . Reactants are written on the left side of equation and product are written on the right side.

Answer:

The correct option is, Ca + ZnCO3 —> CaCO3 +Zn

Explanation:I got it right.

There are 2 employees considered for a promotion. Candidate A went to a top university (say Harvard), and achieved a top GPA (grade point average) and is generally considered one of the most knowledgable employees in the company, but their colleagues often complain abut having to work with candidate A on projects. Candidate B's colleagues have lots of praise for how candidate B is able to work as a team at achieving common goals, but candidate B went to a local community college and didn't receive a very high GPA. Which candidate do you think will or should get the promotion?

Answers

Answer:

Canidate B

Explanation:

Becuase he/she is good to work with, and will most likely be more determined.

In a chemical reaction,sodium sulphate and barium chloride are mixed to form barium sulphate(a precipitate)and sodium chloride. (i)What are the reactants in the above reaction? (ii)What are the products?

Answers

Answer:

i) The reactants are sodium sulphate and barium chloride

ii) The products are barium sulphate and sodium chloride.

Explanation:

In chemistry, a chemical reaction occurs when one or more chemical substances usually referred to as REACTANTS undergoes some processes and is converted to one or more different substances known as PRODUCTS.

From the question:

Na2SO4 + BaCl2 ⟶ 2NaCl + BaSO4

​The above balanced equation represents the chemical reaction between sodium sulphate and barium chloride. Both are the reactants because they where the substances that passed through a process ( this involves the breaking of bond that held them together).

The PRODUCTS are barium sulphate and sodium chloride because they are the substances that presented at the end of the chemical reaction.

Need help please????????!!!!!!!!!!

Answers

Answer:

Your education back ground

Which characteristic is defined as the distance traveled by a wave crest in a given time?

frequency

wavelength

amplitude

speed

Answers

Answer:

Amplitude

The amplitude ( ) of a wave is the distance from the centre line (or the still position) to the top of a crest or to the bottom of a trough .

Explanation:

Hope it helps

The distance traveled by a wave crest in a given time is defined as: D. speed.

What is a wave?

A wave can be defined as a disturbance in a medium that progressively transport energy from a source to another location, especially without the transportation of matter.

The characteristics of sound wave.

Some examples of the characteristics of a wave include the following:

FrequencyWavelengthAmplitudeSpeed

In Science, speed refers to the distance traveled by a wave crest in a given time.

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Will an objects mass affect the kinetic energy? (If then because answer)

Answers

Answer: Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant

Explanation:

Yes, mass affects the kinetic energy due to their positive relationship.
The formula for kinetic energy is
K = 1/2 x Mass x Velocity^2

So if the mass changed then the kinetic will change

what are phrasal verbs. please help will give brainliest​

Answers

Answer:

In English traditional grammar, a phrasal verb is the combination of two or three words from different grammatical categories: a verb and a particle, such as an adverb or a preposition — to form a single semantic unit on a lexical or syntactic level. Examples: turn down, run into, sit up.

Explanation:

The attractive force between two objects that depends on their masses and the distance between them is _______?

Answers

Answer:

gravitational force

Explanation:

an object with mass attractive another object with mass

ANSWER:

GRAVITATIONAL FORCE

EXPLANATION :

Gravitational force -an attractive force that exists between all objects with mass; an object with mass attracts another object with mass; the magnitude of the force is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between the two objects.

HELPP ILL GUVE YOU LOTS OF POINTS EVERYTHING U WANT I REALLY NEED HELP ​​

Answers

Answer:

ok so I'm going left to right

a) 3 2 1 4

b) i don't know

What are the main differences between the manual, oscillate and pulse functions?

Answers

What are the main differences between the manual, oscillate and pulse functions? Manuel function can be used when we move it. Oscillate function automatically moves on its own. The pulse function mimics the pulse of a heart rate and can only be used by pushing the button.

The main differences between the manual, oscillate and pulse functions are;

Manual function requires work when we move it. Oscillate function works with automation.The pulse function follow pulse of a heart rate is used for pushing the button.

A pulse can be regarded as a signal processing which is  is rapid, transient change in the amplitude of a signal from a baseline value to a higher or lower value.

The Oscillate function works with automation and it requires some automated system.

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which fuel is considered as a clean fuel for vehicles?​

Answers

Answer:

Biodiesel or biogas vehicles are seen as an element on the path towards energy independence from fossil fuels and relief from unstable oil prices. ... CIVITAS cities test for example the use of biodiesel, biogas, compressed natural gas (CNG) and hybrid vehicles.

Explanation:

10
Select the types of data that describe climate. (You may select more than one
correct answer)
one day's
Temperature
average ocean
depth
average
precipitation
annual wind
speed

Answers

Answer:

temperiture or annual wind speed.

Explanation:

Why did Kenyatta want to distance himself from the Mau Mau? Check all that apply.

They had no desire for independence.
The British were determined to crush the rebellion.
They were criminals and made achieving independence more difficult.
They were led by his political rivals.
They were members of the Kikuyu.

Answers

Answer:

The British were determined to crush the rebellion.

They were criminals and made achieving independence more difficult.

Explanation:

Mau-mau were rebellions and wanted to push out British and other Europeans out of Kenya. Mau mau were also the members of the Kikuyu and were making independence more difficult, due to their rebellion attitude. They were a secret society of Kikuyu.

2) The British were determined to crush the rebellion.

3) They were criminals and made achieving independence more difficult.

After British victory in World War II, Kenyatta received a request to return to Kenya in September 1946, sailing back that month. He decided not to bring Edna—who was pregnant with a second child —with him, aware that if they joined him in Kenya their lives would be made very difficult by the colony's racial laws. On his arrival in Mombasa, Kenyatta was greeted by his first wife, Grace Wahu and their children. He built a bungalow at Gatundu, near to where he was born, and began farming his 32-acre estate.

(a) The British were determined to crush the rebellion.

(b) They were criminals and made achieving independence more difficult.

What is the desire of Kenyatta?

Mau-mau were rebellions and wanted to push out British and other Europeans out of Kenya. Mau mau were also the members of the Kikuyu and were making independence more difficult, due to their rebellion attitude. They were a secret society of Kikuyu.

2) The British were determined to crush the rebellion.

3) They were criminals and made achieving independence more difficult.

After British victory in World War II, Kenyatta received a request to return to Kenya in September 1946, sailing back that month. He decided not to bring Edna—who was pregnant with a second child —with him, aware that if they joined him in Kenya their lives would be made very difficult by the colony's racial laws.

On his arrival in Mombasa, Kenyatta was greeted by his first wife, Grace Wahu and their children. He built a bungalow at Gatun, near to where he was born, and began farming his 32-acre estate.

Thus the British were determined to crush the rebellion.They were criminals and made achieving independence more difficult.

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A copper piece cannot br made a magnet why​

Answers

Answer:

1. A copper piece cannot be changed into magnets, because -

• Only the ferromagnetic metals (the metals which have magnetic properties) can be changed into electromagnets or permanent magnets.

• But,copper is not a ferromagnetic metal and that's why we cannot change the copper into any kind of magnets

Explanation:

When both momentum and kinetic energy are conserved,
the collision is an __________
collision.

Answers

Answer:

Elastic collision

Explanation:

An elastic collision is a collision in which there is no net loss in kinetic energy in the system as a result of the collision. Both momentum and kinetic energy are conserved quantities in elastic collisions. Supposed two similar trolleys are traveling toward each other with equal speed.

Waves transfer _________________, not the _____________ with it. A ______________________ causes particles in matter to move back and forth at right angles to the direction in which the wave travels. High points in a transverse wave are called ________________. Low points are called ________________. A ________________ wave causes particles in matter to move back and forth along the same direction in which the wave travels. The places in a longitudinal wave in which the coils are squeezed together are called ______________. The places in the wave in which the coils are spread apart are called _________________. The ________________ of a transverse wave is the distance between two adjacent crests or two adjacent troughs. The _________________ of a compressional wave is the distance between two adjacent compressions or rarefactions.. The _____________ of a wave is the number of wavelengths that pass by a point each second. Frequency is measured in units of _____________. The ___________ of a wave depends on the medium in which the wave travels. To make a wavelength of rope shorter, one should shake the rope at a ____________ frequency. The speed of a wave can be found using the equation ________________. As the wavelength of a wave increases, the frequency of the wave _______________. The energy of a wave depends on its ______________________.

Answers

Explanation:

(Sorry but we can prosses your answer)


The idea of not wanting or doing too much or too little is called (ex. eat
way too much or starve yourself)

Answers

Answer: below

Explanation:

binge eating then purging. Often known as bulimia. It's an eating disorder. If you starve yourself you have anorexia. If its an idea you are paranoid. Or you are very depressed and you want to get rid of your emotions. It could be called starving yourself too. But you may be looking for the word Orthorexia

If dan ran the 100m dash in 10.23s. What was his average speed during the race? (Round to the nearest tenth of a second)

Answers

Answer:

.1 seconds per meter

Explanation:

I am going to assume they are asking for the average time per 1 meter.

Because it took 10.23 seconds to run 100 meters, we are going to divide 10.23 by 100. This number will be the time per 1 meter.

To divide by 100, we will move the decimal point over by two. That will give us .1023 seconds.

The question asks to round to the nearest tenth, so we round it to .1 seconds.

*Just some trivia: Danie van Blerk does in fact have a time of 10.23 seconds. He has the 1073rd best 100 meter dash time. First place, Usain Bolt, has a time of 9.58 seconds.

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