A flagpole that is 28 feet tall casts a 15-foot shadow. At the same time, a nearby tree casts a 21 foot shadow. Find the height of the tree.

Round to the nearest tenth.

Answers

Answer 1

Answer:

7.5 ft tall

Step-by-step explanation:

We can find the height of the tree if you provide the actual length of the trees shadow.

Not really sure what a "toilet for a shadow" means.

Example: If the tree cast a shadow that was 4 feet long we would use a ratio:

Height/shadow = Height/Shadow

28/15 = x/4 cross multiply

15x = 4(28)

x = 4(28)/15 ≅ 7.47 ft

Rounding I would call the tree 7.5 ft tall

Hope this helps.

Answer 2

Answer:

39.2 feet

Step-by-step explanation:

In case of flagpole:

[tex] tan \theta = \frac {28}{15}..... (1)[/tex]

Since, a nearby tree casts a 21 foot shadow at the same time. So the angle formed will be equal.

Let the height of the tree be x feet.

Therefore,

[tex] tan \theta = \frac {x}{21}.....(2)[/tex]

From equations (1) & (2)

[tex] \frac {28}{15} = \frac {x}{21}.....(2)\\\\

x = \frac{28\times {21} }{{15} }\\\\

x = \frac{588}{{15} }\\\\

x = 39.2 \\\\

[/tex]


Related Questions

WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?

Answers

B (sorry if wrong) hope this helps
It’s D

Check the graph, they both are at 4 inches by 6 weeks so that’s the right answer

Write 1.26% as a
precent and fraction

Answers

Answer:

126%

Step-by-step explanation:

Answer: 126/100 126%

Step-by-step explanation:

If 28 parrots and 79 bunnies were in the same shelter what is the rate of parrots to bunnies?








and if u delete that i can say u guys were deleting actual questions- and have proof too ha.







seriously again im not mean irl

Answers

Put both values into a ratio

P:B
28:79

Answer:

79/28

Step-by-step explanation:

i have no clue-

I will give 5 stars and brainlist.

Answers

Answer:

I believe it's B

Step-by-step explanation:

I'm so sorry if im wrong

B is the answer...........

whats the slope intercept form​

Answers

Answer:

y=1+0b

Step-by-step explanation:

Find the -intercept and -intercept of the line.

3x-7y=-21

x-intercept
y-intercept

Answers

x intercept (- 7,0)

y intercept (0,3)

Tickets to the school dance cost $3.00 in advance or $5.00 at the door. There were a total of 184 tickets sold, raising $688. How many tickets were sold at the door?

Answers

Answer: They sold 68 tickets at the door
688-920= -2x= -232
2x=232/2=116
184-116=68

467 divided by 17 plzz answer

Answers

Answer:

27.47059

Step-by-step explanation:

Just use a calculator :^

A submarine 50.2 m below the surface of the ocean goes up 15.6 m. Then it goes down 35.7 m. What is the
submarine's new position relative to the surface of the ocean? Show your work.
Help Please?

Answers

Answer:

70.3

EXPLANATION:

ejxjcjfkfkgkvkfkdkgnvkdlekgkgngkdkfjvnfk


Laurie filled a container full with water. She put 42
ounces of water in it.
What is the capacity of Laurie's container?

Answers

42 ounces... am i wrong i’m so confused what
I think the answer is 42

7. The Majestic company increased the cost of an Astros jersey from $80 to $110. By what percentage was the price of
the Astros jersey increased?

Answers

Answer:

50%

Step-by-step explanation:

The cost = $80

Increased cost = $120

% Increase = (120-80) / 80 * 100

% Increase = 40/80 * 100

% Increase = 0.5 * 100

% Increase = 50%

So, the price of the Astros jersey increased by 50%

The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold.

$624 = $12t

What is the unit rate in the equation above?
A.
$624 per raffle ticket
B.
$52 per raffle ticket
C.
$612 per raffle ticket
D.
$12 per raffle ticket

Answers

Answer:

B. 52 per raffle ticket

Step-by-step explanation:

you divide 624 by 12 giving the answer of 52

Margaret is making strawberry milkshakes for the kids party. The recipe calls for of a cup of strawberry syrup to make 12 milkshakes. How many cups of strawberry syrup are needed to make 108 milkshakes?
A.
36
B.
12
C.
4
D.
3

Answers

3 cups of strawberry syrup are needed to make 108 milkshakes.

6th grade math i mark as brainliest​

Answers

The answer would be C, sorry if I’m wrong

Is 18x-2y = 26 linear or non linear?

Answers

Answer: it’s a linear function

Step-by-step explanation:

18x-2y=26 as -2y= -18x + 26 by adding 18x to both sides, and then y=9x - 13 by dividing both sides by -2. So, it represents a linear function

Answer:

It's linear

Step-by-step explanation:

18x-2y=26

Because it has two variables x and y

In what ways do you follow a healthy diet?

Answers

By eating healthy and constantly working out

Calculate the average time it took the car to travel 0.25 and 0.50 meters with two washers attached to the pulley. Record the averages, to two decimal places, in Table C of your Student Guide.

What is the average time it took the car to travel 0.25 meters?

seconds

What is the average time it took the car to travel 0.50 meters?

seconds

Answers

Answer:

1.92 second at 0.25 meters.

2.61 second at 0.50 meters.

Step-by-step explanation:

the average 2 washers  on time travel of:

0.25 m : 1.94 / 1.95 / 1.87 = 1.92 second

0.50 m: 2.69 / 2.72 / 2.42 = 2.61 second

In this exercise we have to calculate the time that a car makes in a certain distance, in this way we find that:

A) In 0.25 meters in 1.92 second.

B) In 0.50 meters in 2.61 seconds.

We know that some information is given in the statement as:

In 0.25 meters the car speeds are: 1.94/ 1.95/ 1.87In 0.50 meters the car speeds are: 2.69 / 2.72 / 2.42

Knowing that the formula for calculating time is given by:

[tex]Time= Distance/Speed[/tex]

So we have:

A) [tex](1.94 +1.95 + 1.87)/3= 5.76\\0.25/5.76=1.92 s[/tex]

B)  [tex]2.69+ 2.72 + 2.42= 7,83\\0.50/7,83=2,61[/tex]

See more about time at brainly.com/question/2570752

Joe borrowed $6,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 8 years?

Answers

Answer:

$3360

Step-by-step explanation:

7% of $6000=$420

$420 time 8= $3360

Hope this helped! :)

Answer:

$3,360

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time (years)

Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Hope this helps! :)

Have a great day!

The train station clock runs too fast and gains 8 minutes every 10 days.
How many minutes and seconds will it have gained at the end of 4 days?

Answers

Answer: 3 minutes and 12 seconds

Step-by-step explanation: You can see 8 minutes every 10 days as a fraction (8/10). This can be simplified to 4/5, meaning that the amount of time gained will be 4/5 of the # of days that have passed. 4/5 of 4 days is 3.2 minutes, and that can be converted to 3 1/5. 60 seconds divided by 5 is 12 seconds, meaning that 1/5 of a minute is 12 seconds. Therefore, the answer is 3 minutes and 12 seconds.

What is the probability that the selected adult is a smoker?

Answers

Answer:

Alot of adults smoke and very little adults don´t smoke at all

Step-by-step explanation:

14.0% of U.S. adults overall.

like to me 85% of adults smoke

One acute angle of a right triangle measures 35°. What is the measure of the other acute angle? ·

Answers

Answer:

55

Step-by-step explanation:

A right triangle always has one angle which is equal to 90 degrees. You have been given the second angle which is 35 degrees hence to get the second acute angle you do:

180 - (90+35)

= 55

Answer:

we have,,

the traingle having one actue angle is 35degree

i.e angle ACB be 35degree, AND

another one angle ABCis 90degree

Also, let angle Bac be x

now,,

x+35+90=180(being the sum of traingle)

or,x=180-125

or,x=55

therefore, the value i.e angle BAC be 55 degree.

Which triangles are similar A or b? I need help.

Answers

Answer:

A!

Step-by-step explanation:

DIG DEEPER! Solve the
2x – y + 3z = -1
x + 2y - 4z = -1
y -- 2z = 0
The solution is

Answers

Answer:

x = - 1, y = 2, z = 1

Step-by-step explanation:

Given the 3 equations

2x - y + 3z = - 1 → (1)

x + 2y - 4z = - 1 → (2)

y - 2z = 0 → (3)

Add (1) and (3) term by term

2x + z = - 1 → (4)

Multiply (1) by 2

4x - 2y + 6z = - 2 → (5)

Add (2) and (5) term by term

5x + 2z = - 3 → (6)

Multiply (4) by - 2

- 4x - 2z = 2 → (7)

Add (6) and (7) term by term

x = - 1

Substitute x = - 1 into (4)

- 2 + z = - 1 ( add 2 to both sides )

z = 1

Substitute x = - 1, z = 1 into (2)

- 1 + 2y - 4 = - 1

- 5 + 2y = - 1 ( add 5 to both sides )

2y = 4 ( divide both sides by 2 )

y = 2

solution is (x, y, z ) = (- 1, 2, 1 )

what is 5x + 3y = 12 written in slope intercept form

Answers

Answer:

y=4-5/3x

Step-by-step explanation:

Rearrange and simplify.

Y= -5/3x + 4 hope this helped you

HELP ILL GIVE brainliest !!

Answers

Answer: To distinguish, when using part-to-part ratios, you have to put a 2 numbers that can be summed to the total. Part-to-whole relationships is put from half or a number that doesn’t go over the total can be described as a part-to-whole.

Step-by-step explanation:

Answer:

part to part is comparing one part of a group to another part of the group but part to whole is comparing one part of the group to the enire group

Step-by-step explanation:

A example when looking trail mix would be:

Part to part: comparing the number of peanuts to the number of raisins

Part to whole: comparing the number of peanuts to the entire bag of trail max

Solve the inequality of x. 2x + 6 < 18

Answers

The Answer isssssssss  x<6

HELP

How much can the Owen family expect to pay, per year, to raise the child from birth to 18 years of age?

A)$11,378
B)$12,846
C)$13,188
D)$13,458​

Answers

it is A because the amount of money needed to raise a child divided by 18 is 11,378

The Owen family expect to pay, per year, to raise the child from birth to 18 years of age is $18203.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that,

Cost of raising a child            in 2 years

Birth to 5 years old                $65,250

5 to 18 years old                    $139,560

4 y Public college                  $24,382

4 y private college                 $98,470

Here, total money = 65,250+139,560+24,382+98,470

= $327662

Money to raise in a year = 327662/18

= $18203

Therefore, the Owen family expect to pay, per year, to raise the child from birth to 18 years of age is $18203.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ5

0.5 (n-4) -3 = 3 - (2n+3)

Answers

Answer:

n = 2

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n -3

0.5n + 2n = 2 + 3 + 3 -3

2.5n = 5

n = 2

Answer:

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n - 3

Solving like terms

0.5n - 5 = - 2n

-5 = - 2n - 0.5n

-5 = - 2.5n

-5/-2.5 = n

2 = n

write the formula of mode for grouped data,and explain each term in it.​

Answers

Answer:

Mode =Li+[f1-f0/2f1-f0-f2] *h

Li=lower limit.

F1= first frequency

F0= upper frequency of first frequency.

F2= second frequency.

H= difference between class intervals.

Hope it is helpful

PLEASE HELP JESUS I DONT UNDERSTAND

Answers

Answer:

22 units

Step-by-step explanation:

The formula for the area of a trapezoid is A = [tex]\frac{a+b}{2} h[/tex] where a and b are the bases and h is the height of the trapezoid.

In this case, the numbers that will be replacing a and b will be 4 and 7, making the equation look like this: A = [tex]\frac{4+7}{2}h[/tex] .

Now, you have to determine the height of the trapezoid, which in this case is 4 units. The equation will now look like this: A = [tex]\frac{4+7}{2}4[/tex].

You can solve from here like so:

A = [tex]\frac{11}{2}4[/tex]

A = 5.5(4)

A = 22

sorry that took long :3))

I got the measurements like 4, 7, and the other 4 from rotating the shape to have the longer side on the bottom.

Other Questions
Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) to be 3. Which best describes his error?Ankur multiplied the compatible numbers 15 and 3.Ankur found that the quotient of a positive number and a negative number is negative.Ankur found that the quotient of a positive number and a negative number is positive.Ankur added the compatible numbers 15 and 3. Calculate the kinetic energy of a 50 kg cart moving at a speed of 7.1 m/s.ill give u 100 points if you give me the right answer. Find - square root 36A.+6B.-6C.6D.18Help the I Help me with this plz!?!? I will mark brainliest!!! A 2.0 kg bucket is attached to a horizontal ideal spring and rests on frictionless ice. You have a 1.0 kg massthat you must drop into the bucket. Where should the bucket be when you drop the mass (so it is movingpurely vertically when it lands in the bucket) if your goal is to:(a) Maximize the amplitude of the oscillation of the resulting 3.0 kg mass and spring system.(b) Minimize the amplitude of the oscillation of the resulting 3.0 kg mass and spring system. HURRYA bucket holds 10 white golf balls, 3 pink golf balls, and 5 yellow golf balls. Jason selects 1 golf ball from the bucket at random.What is the probability that the golf ball he selects is white or pink?5/545/1313/1813/5 Amplitude of 16 units, a period of 5 units, a vertical displacement of 3 units up and a phase shift of 2.5 units left. In my 4.3 Code practice: Question 1.Every time I enter an age, it just continues to print **HUG**What is wrong with my code? The financial agency that sets monetary policy is__________, The financial agency that insures bank deposits is_________. Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary) A) 3.3 inB) 6.7 inC) 7.9 inD) 9.0 in Find the distance across the bridge Close your eyes and imagine this..... BAMMMM TATTATATAT!!!!!! BOOM!!!!! Your buddy falls down near shore as you feel some rifles being pointed at you next and you know you have to push forward, towards those big bunkers. A bloody shore, bloody waters, you keep trying to push forward for an hour or so. Later you realize you've ran outta ammo as you grab a M1 Garand that was dropped down by your fallen brothers, as the battle keeps going you hear a WHIZZZ! near you as you close your eyes thinking this is the last fresh breaths you'll have but no you don't fall down and after opening your eyes you notice that the bullet that struck you was repelled by your trusty helmet, HAHAHAH not today you whisper", as you stand up you take one last look to those who didn't make it and wont be returning home then you move up towards to the hills. What is the setting? Especifically How have trade agreements changed over time to address the challenges of modern global trade? Pls help I need this done soon and I suck at math What is the slope of the line that passes through the points (-4, -2)and (4,22)? Write your answer in simplest form. C:/Users/Documents/resume.docx Where is the "resume" document located in this file structure? Please answer, fifteen pts!8x -4 < -36.Please explain/show work! What is the kinetic energy of a population of particles? Zepol Company is planning to produce 600,000 power drills for the coming year. The company uses direct labor hours to assign overhead to products. Each drill requires 0.75 standard hour of labor for completion. The total budgeted overhead was $1,777,500. The total fixed overhead budgeted for the coming year is $832,500. Predetermined overhead rates are calculated using expected production, measured in direct labor hours. Actual results for the year are: big points.if x amount of people report this question, and it gets removed in 1 minute, and when 2x amount of people report this question, it gets removed in thirty seconds, writes a linear equation with y being how quickly it is removed, and x being people reporting it.#forthememe(it would be very ironic if this question was reported