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 expression is equivalent to 4(7c+3)+5?




11c+7+5


28c+7+5


28c+12+5


28c+12+20

Answers

Answer:

28c+12+5

Step-by-step explanation:

taking 4 common in 28c-12 then,

28c+12+5=4(7c+3)+5

Answer:

28c+12+5

Step-by-step explanation:

4(7c+3)+5

i) distribute 4 into the parentheses

(4×7c)+(4×3)+5

= 28c+12+5

Evaluate: 4
4.[22 -(1 +0.5)

Answers

Answer:

82

Step-by-step explanation:

Answer:

20.5

Step-by-step explanation:

glad i could help!

A man drove his car a distance of 260 miles in 4 hours. If continuing at this rate is possible, he will travel ____ miles in 8 hours. Someone pls help im sooo behind in maths and im really confused

Answers

Answer:

...520 miles

Step-by-step explanation:

if he keeps the same pace then you can just put two and two together 260 + 260 = 520 (seems too easy so sorry if im wrong)

Driving 288 miles in 4 hours is a total rate of blank miles per hour. Need it fast

Answers

Answer:

Step-by-step explanation:

288 divided by 4 = 72

72X4=288

Hope it helps

there mike per hour is 72 miles

What is the solution to the equation 4x + 8= -2 - 2 + 5x
Have?
Two
One
None
Invinitely many

Answers

Answer:

one solution

Step-by-step explanation:

4x + 8 = -2 -2 + 5x

4x + 8 = -4 + 5x

4x - 4x + 8 = -4 + 5x - 4x

8 = -4 + 5x - 4x

8 = -4 + x

8 + 4 = -4 + 4 + x

12 = x

A woman is 5ft tall and her shadow is 4ft king. A nearby tree has a shadow of 30 ft long. How tall is the tree

Answers

Answer:

37 feet and 5 inches

Step-by-step explanation:

Answer:  40 ft tall

Step-by-step explanation:

you would mutiply it

Choose ASA, SAA, or neither
to describe this figure.
A
B
ASA
SAA
neither

Answers

Answer:

SAA

Step-by-step explanation:

there is a side, and vertical angles equal eachother so it would be SAA

Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?

Answers

Answer:

460

Step-by-step explanation:

Which mixture would taste different? Mixture 1: 1 cup water, 1.5 teaspoons drink mix Mixture 2: 2 cups water, 1/2 teaspoon drink mix Mixture 3: 1 cups water, 1/4 teaspoon drink mix Mixture 1 Mixture 2 Mixture 3

Answers

Answer:

Drink 1 will taste different.

Step-by-step explanation:

Given the mixtures:

Mixture 1: 1 cup water and 1.5 teaspoons drink mix

Mixture 2: 2 cups water and [tex]\frac{1}{2}[/tex] teaspoons drink mix

Mixture 3: 1 cup water and [tex]\frac{1}{4}[/tex] teaspoons drink mix

To find:

Which of the mixtures will taste different?

Solution:

To answer this, we need to find the ratio of all the mixtures.

First of all, Let us make ratio of water as 1 quantity.

Ratio of 1st mixture = 1 : [tex]\frac{3}{2}[/tex]

Ratio of Mixture 2 contains 2 cups of water.

Let us divide the ratio of mixture 2 with 2, we get:

[tex]\frac{2}{2}:\dfrac{\frac{1}{2}}{2}\\\Rightarrow 1:\dfrac{1}{4}[/tex]

Ratio of 3rd mixture = [tex]1:\frac{1}{4}[/tex]

Ratio of drink mix of 1st mixture with 1 cup water is different.

So, drink 1 will taste different.

(567)3-a=(678)
What does a equal

Answers

Answer:

[tex]a=1023[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\(567)3-a=678\\Hence,\\1701-a=678\\1701-678=a\\1023=a\\a=1023[/tex]

What is the answer for (2b + 8)5 ?

Answers

Answer:

Expanded, the answer would be 10b + 40

Step-by-step explanation:

Just multiply 8 to 2b and 8

Which of the following inequalities orders the numbers
0.2, 0.03, and 1/4 from least to greatest?

Answers

Answer:

0.03, 0.2, 1/4

Explanation:

The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.

What is ascending order?

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The numbers are given below.

0.2, 0.03, and 1/4

Convert all the numbers into fraction numbers.

0.2, 0.03, and 0.25

Then the inequalities orders the numbers from least to greatest numbers will be

0.03 < 0.2 < 0.25

The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.

More about the ascending order link is given below.

https://brainly.com/question/320500

#SPJ6

1. A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are:

(3, -2), (3, 4), and (−3, 4).

The city planner wants to put a tree at the orthocenter of the park. What are the coordinates of the tree?
2. The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the tree?
3. picture below

Answers

Answer:

Download Socratic it has all the information you need

Sammi believes that 0.3 repeating is a rational number. Is Sammi correct?

Answers

Answer: Yes, Sammi is correct because although it is repeating, it is expressible as a ratio of 2 integers.

I hope this helps!

Step-by-step explanation:

Write a word description of the set.
{−6, −5, −4, −3, −2, −1}

Answers

The numbers in the brackets shown are from least to greatest. Negative six (being the lowest), negative five, negative four, negative three, negative two, negative one(being the greatest).
Hope this helps!

Find(x^3+8x^2-25x-193) divide (x-5) by using synthetic division.

Answers

Answer:

x^2+13x+40 remainder 7. (or 7/(1-5))

Step-by-step explanation:

Answer:

x² + 13x + 40 + [tex]\frac{7}{x-5}[/tex]

Step-by-step explanation:

Using Synthetic division

dividing by ( x - 5) , thus use h = 5

5 |   1    8    - 25    - 193

       ↓    5      65      200

             +       +        +

    ---------------------------------

      1     13      40       7 ← remainder  

quotient = x² + 13x + 40

Thus

[tex]\frac{x^3+8x^2-25x-193}{x-5}[/tex] = x² + 13x + 40 + [tex]\frac{7}{x-5}[/tex]

PLEASE HELP AND SHOW WORK IF YOU CAN​

Answers

Answer:

c) XY > RS

= true

Step-by-step explanation:

Firstly know the meaning of each sign given

> means is greater than

= means is equal to

a)XZ > ST

XZ = 8

ST = 11 - greater

= false

b) XY = RS

Due to the angles presented, we conclude that the greater the angle, the longer the unmeasured line.

XY is longer than RS

= false

c) XY > RS

= true

d) RS > XY

RS is shorter than XY hence not greater.

= false

^^^ this too please

Answers

I believe the measurement of CD is 90 degrees

A detergent company is trying to find a new stain remover ingredient to put in its detergent. Company managers know that baking soda or bleach will be used. The also know that water temperature, cold and warm, affects the stain removal process. An experiment will compare all combinations of these choices. Four types of stains on the same fabric will be subjected to each treatment and scored for stain removal quality. What is the experimental unit?

A: the fabric
B: the baking soda and bleach
C: the temperature of the water
D: the detergent
E: The Stains​

Answers

Answer:

C.

Step-by-step explanation:

because they can pick bleach or bakeing soda the stans are going to come off either way but either\or hot and cold water affects it so they have to find out which of the water affects it not which of the prodocts does

If u want help on that watch Bill Nye the science guy. He does the best science experiments

On a coordinate plane, a graph of a floor function has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (5, 5) to (6, 5).
Use the graph of the floor function to complete the statements.



Over the interval
, y = 2.

For an input value of –1.5, the corresponding output value is

Answers

Answer: Over the interval x =  2≤ x <3, y = 2.  

For an input value of –1.5, the corresponding output value is -2

Step-by-step explanation: Easier to find the information of you make a sketch of the graph described. (Good description!)

To find the value, look at the graphed segments that correspond to the given values.

X represents input values, Y represents output values.

Answer:

Over the interval  

✔ [2, 3)

, y = 2.

For an input value of –1.5, the corresponding output value is  

✔ –2

.

Step-by-step explanation:

edge2020

56 gallons to 77 gallons​

Answers

Answer: it would be +21 gallons

Step-by-step explanation:you have to add 21 gallons to get 77 gallons

The Awnser is +21gallons

What is the domain of f(x)=
10x1-(4)
?

Answers

Answer:

Domain:(−∞,∞),{x|x∈R}

Step-by-step explanation:

please help me out!!! i have to pass this test

Answers

Answer: 126!

Step-by-step explanation: I subtracted 180-54, because a triangle should always equal 180.

Hi. Please i need help with these . No jokes .

Question b : Find ;
the values of
1.alpha³+beta³ and 1/(alpha³) +1/(beta³)
2. the the equation whose roots are alpha³ and beta ³​

Answers

9514 1404 393

Answer:

  (a) 2, 6

  (b) 155/8, -155, 8x² -155x -1 = 0

Step-by-step explanation:

(a) The equation in standard form is ...

  x^2 -(4+k)x +4k +1 = 0

Then the discriminant is ...

  (4+k)^2 -4(1)(4k+1) = 4^2 +8k +k^2 -16k -4 = k^2 -8k +12 = (k -2)(k -6)

The roots are equal when the discriminant is zero. The values of k that make the discriminant be zero are k=2 and k=6.

__

(b) a^3 + b^3 = (a +b)(a^2 -ab +b^2) = (a+b)((a+b)^2 -3ab)

  = (5/2)((5/2)^2 -3(-1/2)) = (5/2)(25/4 +3/2) = 155/8 = α³ +β³

  1/a^3 +1/b^3 = (a^3 +b^3)/(ab)^3 = (155/8)/(-1/2)^3 = -155 = 1/α³ +1/β³

The desired equation can be written from ...

  (x -a^3)(x -b^3) = 0

  x^2 -(a^3 +b^3)x +(ab)^3 = 0

  x^2 -155/8x -1/8 = 0 . . . . .substituting known values

  8x^2 -155x -1 = 0

Sunny's Surf Shop sold 160 surfboards this week, which was 320 percent of the number of surfboards sold last week. How many surfboards did Sunny's Surf Shop sell last week? O 16 O 50 O 160 512​

Answers

Let, the number of Surfboards sold last week = x

Then, x * 320% = 160

x * 3.20 = 160

x = 160/3.20

x = 50

In short, Your Answer would be Option B

Hope this helps!

(no need to give brainliest) :)

Answer:

The answer would be B, 50.

Is 9.008 greater than 9.080

Answers

Answer:

no

Step-by-step explanation:

9.080 is greater

No it’s not greater
Since for the first one, 8 is in the ones place while 8 is in the tenth place for the second one.

Gary drank
4
5
liter of water Monday before going jogging. He drank
2
3
liter of water after his jog. How much water did Gary drink altogether? Write your answer as a mixed number.

Answers

Answer:

1 7/15

Step-by-step explanation:

4/5 = 12/15

2/3 = 10/15

12/15 + 10/15 = 22/15 or 1 7/15

20 POINTS!!!What is the solution to the system that is created by the equation Y = 2x+ 10 and the graph shown below?
(-8,-6)
(-4,-2)
(0,2)
(2,4)

Answers

Answer:

(-8,-6)

Step-by-step explanation:

Answer:

So... the factored answer is -5(7+x) Simplified it is -35-5x

Step-by-step explanation:

Calculate the sum then factor! Hope this helps :D

veronica has 5 more than double the number of stuffed animals than her friend mariposa. together they have 32 stuffed animals

Answers

Answer:

Subtract 32 - 5 that would give you your answer

Step-by-step explanation:

32-5=27
27 would be your answer

Hi! whats 6666666 × 727272772​

Answers

Answer: 4.8484847e+15

Step-by-step explanation:

Answer:

6666666 × 727272772​ = 4,848,484,661,818,152

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