One afternoon, a student who is 5 feet 4 inches tall measured shadows to find the height of a telephone pole. The student's shadow was 5 feet long. At the same time, the shadow of the telephone pole was 18 feet 9 inches long. How tall is the telephone pole?





Please help

Answers

Answer 1

Answer:

19.9875 feet

Step-by-step explanation:

The formula is given as:

Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.

1 inch = 0.0833 feet

Shadow of the student = 5ft

Height of the student = 5 feet 4 inches

4 inches to feet

= 4 × 0.0833 feet

= 0.33 feet

Hence: Height of the student = 5 + 0.33 = 5.33 feet

Shadow of the telephone pole = 18 feet 9 inches long

9 inches to feet

= 9 × 0.0833 feet

= 0.75 feet

Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet

Height of the telephone pole= x

Therefore:

5/5.33 = 18.75/x

Cross Multiply

5x = 5.33 × 18.75

x = 5.33 × 18.75/5

x = 19.9875 feet

The height of the telephone pole = 19.9875 feet


Related Questions

Find the unknown length x in the right triangle, to the nearest tenth .

Answers

Answer:

x = 11.7

Step-by-step explanation:

sin of an angle is opposite/hypotenuse

sin 38 = x/19

x = 19 sin 38

x = 11.7

You need to memorize the definitions of all the trig functions and then this type of problem will be easy for you.

7. The dominant trait for being tall is (A). The recessive trait for being short is (a). Based on the Punnett square what percentage of offspring will be short?
100%
75%
50%
25%

Answers

Answer:

50%

Step-by-step explanation:

Describe in your own words how the picture above shows 3(2 + x)

Answers

Answer:

6 + 3x

Step-by-step explanation:

3 * 2 and 3 *x

= 6 + 3x

you can not break that down any farther so it stays at "6 + 3x".

Hope this helps!

Answer:

3(2 + x) = 0

6 + 3x = 0

3x = -6

x = -6/3

x = -2

Hope this help. Do vote me for this. Thanks.

PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)

Answers

look at the picture i attached for the answer :))

what is the value of x?

Answers

Answer:

68

Step-by-step explanation:

c=√a^2+b^2

√ 60^2 + 32^2 =68

We will use the Pythagorean Theorem

[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]

16d + 20c + 5d -7 - 8c - 7d + 3 Simplify the expression above:

Answers

Answer:

14d + 12c -4

Step-by-step explanation:

wasssssupppppppppppppp

Answers

Wassssssaaaaaaaaaaaaaaa

Answer:

Wasssupppp yallll


20 POINTS
Translations
7
Acellus
Find the image of the given point
under the given translation.
Help Resources
P(3,-5) T(x, y) = (x +4, y-3)
P' = ([?], []).
Enter the number that belongs in
the green box.
Enter

Answers

Answer:

The number that belongs in the green P' = ([?], [ ]) with P' = (7, -8) box is;

7

Step-by-step explanation:

The coordinate of the given point 'P' is P = (3, -5)

The preimage of (x, y) after the translation, [tex]T_{(x, \ y)}[/tex] = (x-coordinate + 4, y-coordinate - 3)

Therefore, the translation, [tex]T_{(x, \ y)}[/tex] = T₍₄, ₋₃₎

Therefore, we have;

Preimage P(3, -5) under the translation T₍₄, ₋₃₎ gives the image P' as follows

P(3, -5) [tex]\overset{T_{\left ( 4, \, -3 \right )}}{\rightarrow}[/tex]P'(3 + 4, -5 - 3) = P'(7, -8)

Therefore, the number that belongs in the green box is the x-coordinate value of the point P'(7, -8) which is seven.

Braxton has money in a savings account. The equation B = 800(1 + 0.03) can be used to calculate the amount

of money in dollars, B. Braxton has in his account after t years since opening the account.

Pam also has money in a savings account. The equation P=800(1 +0.04) can be used to calculate the

amount of money in dollars, P, Pam has in her account after t years since opening the account.

Choose from the drop down menus to correctly complete each sentence.

Braxton's initial investment Choose...

• Pam's initial investment.

The interest on Braxton's account Choose...

• the interest on Pam's account.

Answers

Answer:

Braxton's initial investment is equals to (=) Pam's initial investment.

The interest on Braxton's account is less than (< ) the interest on Pam's account.

Step-by-step explanation:

Given - Braxton has money in a savings account. The equation

            B = [tex]800(1 + 0.03)^{t}[/tex] can be used to calculate the amount of money    

           in dollars, B, Braxton has in his account after t years since opening

           the account.

           Pam also has money in a savings account. The equation

           P=[tex]800(1 + 0.04)^{t}[/tex]  can be used to calculate the  amount of money in

           dollars, P, Pam has in her account after t years since opening the

           account.

To find - Braxton's initial investment ..........Pam's initial investment.

             The interest on Braxton's account .....the interest on Pam's account.

Proof -

As given, Broxton equation is - [tex]800(1 + 0.03)^{t}[/tex]

               Pam equation is - [tex]800(1 + 0.04)^{t}[/tex]  

Now,

1.)

For initial investment , Put t = 0

⇒B = [tex]800(1 + 0.03)^{0} = 800(1) = 800[/tex]

  P =  [tex]800(1 + 0.04)^{0} = 800(1) = 800[/tex]

As for t = 0

Braxton's equation , B = Pam's equation,P

Braxton's Initial investment = Pam's initial investment.

2.)

For the interest,

As we don not have time for which the interest has to be check.

So , let the time period = 5 years

Therefore,

B = [tex]800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.1593) = 927.42[/tex]

P =  [tex]800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.2166) = 973.32[/tex]

Now,

Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127

Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173

∴ we get

The interest on Braxton's account is less than the interest on Pam's account.

Applying Properties of Parallelograms, Rhombi, Rectangles, and Squares
Given the following parallelogram: Solve for x,
19x + 8
17% - 50

Answers

9514 1404 393

Answer:

  x = 21

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so the two marked segments are the same length.

  17x + 50 = 19x + 8

  42 = 2x . . . . . . . . . . subtract 8+17x

  21 = x . . . . . . . . . . .  divide by 2

can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. The Americans finally took the lead.

Also put two of these words in it Although or so unless.

40 points

Answers

the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead

(this is english not math change your question when you have to do this again)

which equation would be the easiest to solve first by using the substitution method? EXPLAIN WHY

equation 1: 3x+5y= -8
equation 2: x- 2y=1

Answers

Answer:

Equation 2: x - 2y = 1

Step-by-step explanation:

The equations easiest to use substitution are the ones that have the variable multiplied by one, as in the case of Eq. 2 where x is 1x, so if you substitute a zero for x, we know that y has to be -1/2 for the equation to be true.  Furthermore, if you substitute a 0 for y you automatically know that x = 1.

If you try to substitute anything for x in equation 1, let's say x = 1, you still have to multipy by 3, then the rest of the problem would be more steps.

What is the annual rate of inflation (percent of inflation) of a gallon of milk costing $2.25 last year and $2.70 this year

Answers

Answer:

20%

Step-by-step explanation:

y=5x+1 graph the equation

Answers

This is how you would graph y=5x+1

Just choose values for x like (-2,-1,0,1,2) then replace it in the equation. Ex. For -2 it would be y=5(-2)+1
Y=-9
So the point would be x=-2 and y=-9

Judy uses 12 tiles to make a mosaic. 8 of the tiles are blue. what fraction ,in simplest form, represents the tiles that are blue

Answers

2/3
You do 8/12 since it’s blue to mosaic tiles and both number divide by 4 so 8 divided by 4 is 2 and 12 divided by 4 is 3 so 2/3

this killing me pls help ‍♀️

Answers

-6p - 3 = 9, Solve for p

Add 3 to both sides.

-6p = 12

Divide -6 by both sides.

p = -2

8x=2 what is the value ofx

Answers

Answer:

0.25

Step-by-step explanation:

8x=2

[tex] = > x = \frac{2}{8} [/tex]

[tex] = > x = \frac{1}{4} or \: 0.25(ans)[/tex]

Step-by-step explanation:

8x=2

= > x = \frac{2}{8} =>x=

8

2

= > x = \frac{1}{4} or \: 0.25(ans)=>x=

4

1

or0.25(ans)

Find the exact value of inverse cos (square root of 3/ 2.

Answers

Answer:

that I have attached my application for you to have a couple months but I'm thinking it's all threads a small for more about an automatically ke you don't you to join our next few different to see a look great and you want them so it in for her the

Answer:

30° is the exact value of cos invers

PLEASE MARK ME AS BRAINLIEST

An Xbox has a retail price of $350. Best Buy is offering a 15% discount on the system. How much will the Xbox cost after the discount?

Answers

Answer:

About  297.50$

becuase since i actually have an xbox with that same discount i know the answer

Answer:

you will pay 297.50$

you are saving 52.50$

Solve the following problem:

5x - 3 = 4x + 3

A. x = 5

B. x = 6

C. x = 7

Answers

Answer:

x=6

Step-by-step explanation:

Step 1: Subtract 4x from both sides.

5x−3−4x=4x+3−4x

x−3=3

Step 2: Add 3 to both sides.

x−3+3=3+3

x=6

Answer:

B.

Step-by-step explanation:

5x-3+3=4x+3+3

5x=4x+6

5x-4x=4x+6-4x

x=6

2) Find the area. *
7 points
12 cm
2 cm
4 cm
6 cm
24
O 12
36
48

Answers

Answer:

36cm

first we extend one of the half lines.

now we have 2 rectangles with sides

6cm and 4cm and 2cm and 6cm

using area of rect formula we find the area of both the rects separately and then add them

What is the missing term?
-4.-12.x
12.-4 .
2x
?
2.2

+1

Answers

Answer:

Step-by-step explanation:

The question is not displaying correctly.

4x·3x = 12x²

There are 90 penguins in a zoo. There are two types - Humboldt and Emperor.
52 are female, of these 6 are Emperor penguins.
There are 5 male Emperor penguins.
Use this information to complete the frequency tree.
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!

Answers

Answer:

still need it?..........

A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?

Answers

Answer:

1.5 Feet

Step-by-step explanation:

15 x .1 = 1.5

what is 50 - 30%= i forget how to do it :C

Answers

Answer:

just do 50 times 0.3 your answer should be 15. subtract 15 from 50 and you'll have your answer 35.

Lisa goes out to eat with her family and spends 42.50. she gives the waiter 15% tip .how much money does she spend in total ?

Answers

Answer:

Step-by-step explanation:

1.15×$42.50 = $48.875 ≅ $48.88

Answer:

$48.88

Step-by-step explanation:

42.50 increase 15% =

42.50 × (1 + 15%) = 42.50 × (1 + 0.15) = 48.875

What is the area of the figure below?

Answers

Answer:

104

Explanation:

1. Split the figure by the line the larger portion creates.

2. Calculate the area of the left-hand side... 7 · 8 = 56cm squared.

3. You know that the total length of the figure is 15cm. You've already "used" 7cm of that. So... 15 - 7 = 8.

4. Now, we simply do 6 · 8 = 48. Almost there!

5. Finally, add the values of the left side and the right side (48 + 56 = 104)

6. YOUR ANSWER IS 104 cm squared.


What's the greatest ten you can multiply by 8 to get close to, but not go over 629

Answers

Answer:

i guss 8× 77 = 524 which is close to it

Answer: 8 x 70 = 560

Write 0.4% as a fraction or mixed number in simplest form.

Answers

Answer:

4/1000

Step-by-step explanation:

3.(x + 2) + (2x + 3) = 23

Answers

Answer:

x = 6

Step-by-step explanation:

(x + 2) + (2x + 3) = 23

Combine like terms

3x +5 = 23

Subtract 5 from each side

3x+5-5 = 23-5

3x = 18

Divide each side by 3

3x/3 = 18/3

x = 6

Answer:

x = 6

Step-by-step explanation:

1. Remove parentheses where unneeded. x + 2 + 2x + 3 = 23

2. Add constants. x + 5 + 2x = 23

3. Combine like terms. 3x + 5 = 23

4. Subtract "5" from the constants on both sides of the equation. 3x = 18

5. Divide both sides by 3. 3x/3 = 18/3

6. Simplify. x = 6

Other Questions
if an earthworm is 18mm long and is photographed and the picture is magnified 2.5x how long will it be in the picture? James recently got a credit card. The APR on the card is 19.8%. What is the monthly interest rate?A. 1.65%B. 7.8%C. 12%D. 19.8% When a gas is heated, the gas particles have more kinetic energy. Complete the following sentence: This means they move about more and have more ______ with the sides of the container. This increases the pressure. Find the domain and range for f(x)=pi cos(x) please urgent please help need help with the blue I'm in need of help will give brilliance make the comments look like my search history (i'm not a bad girl) Read these excerpts from News Articles about Bullying.Text 1:This week, Jaylen and Mihok will be going into 10 local schools, doing their part to put a stop to bullying."Our presentations are like a pep rally," Robin Arnold said.Text 2:Earlier this month, Jaylen partnered with the Polk County, Florida, school board and local law-enforcement officials to launch a weeklong, countywide anti-bullying initiative . . ."We give out books, wristbands and certificates to the kids and posters and teachers guides to the school, said Robin Arnold.Which detail in Text 1 do you better understand because of details in Text 2?which ten schools Jaylen will visithow Mihok contributes to the presentationswhat Robin Arnold says to the studentswhat Jaylens presentations are like Help plsssssssssss I write it 100 time no one answer Is Y=-3/4x -2 Y=3/4x+1 One solution many solution or no solution Which expression is equivalent to the expression below?2(6k+4)4(2+2k1)-------------------------------------------------------------------------a} 18+48kb} 14k1c} 4k4d} 4+4k 12. Removing an organism from an ecosystem will have which of the following affects? Select all that apply. A. Increase in biodiversity B. Decrease in biodiversity C. Increase in the overall health of the ecosystem D. Decrease in the overall health of the ecosystem What is a meme, What does it mean, and when was it created I WILL GIVE BRAINLEIST! Virginia and Kentucky Resolutions: How did Republicans such as Jefferson and Madison react to the Alien and Sedition Acts? (Use the following terms in your response: resolutions, nullify, States Doctrine.) A hundred miles of landscape spread before me like a fan This is an example of: Simile or Metaphor ? , ...'' ? '' what does the incident involving the Conger eel in paragraph 31 ,42 reveal about Jim Tom's and Jimmy Tom's different point of view regarding the reef (From a story called the reef form commlit) is the above cell a plant cell or animal cell? provide two observable Jane and 3 friends decided to split the cost of a pizza evenly. The total cost was $25.48. How much does each friend have to pay? Please help ASAP!Thank you