1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Monica [59]
3 years ago
5

a utility worker is 5.5 feet tall and is casting a shadow 4 feet long at the same time a nearby utility pole casts a shadow 20 f

eet long write and solve a proportion to find the height of the utility pole

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0

So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.


Understanding that we know the shadow lengths, we can turn these into a fraction such as so:


4ft/20ft.


Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.


Your fraction for that would look like:


5.5ft/X


Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.

Now we can solve.

4ft/20ft =5.5ft/X


We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:


4x = 110ft


This is a simple one step equation. Divide both sides by 4 to get your answer.

x= 27.5ft.

This means your Utility pole's height is 27.5ft.

You might be interested in
Daniel hosted a party in which 15 to 45 people could attend and he charged $7 per person for admission. What is the range of adm
irina [24]

Answer:

c. [105,315]

Step-by-step explanation:

6 0
3 years ago
Josiah went to the local barber to get his haircut.it cost 18 for the haircut.josiah tipped the barber 15%.what was the total co
dalvyx [7]
$20.70
Eighteen dollars
Fifteen percent of eighteen is 2.7 
(.15 X 18)+18
4 0
3 years ago
Read 2 more answers
What is the slope of the line x = 4?
rewona [7]
The slope is undefined because you need a y intercept as well.
8 0
3 years ago
Select all that could be x
kari74 [83]

Answer:

4 (a.)

Step-by-step explanation:

The x line has to be under 7 and 6 is too close to 7, therefore 4 is the answer

8 0
3 years ago
Plane B is flying 55mph
zysi [14]

Answer:

It takes around 5s for each plane to travel their respective distances.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Julia spends 2.5 on gas for her lawn mower. she earns 15.00 mowing her neighbors yard.what is julias profit
    13·1 answer
  • The following values represent exponential function ƒ(x) and linear function g(x).
    5·1 answer
  • The table below shows the values of y for different values of x:
    5·1 answer
  • Can someone help me find the area of the following figure
    11·1 answer
  • What is the measure of angle 15
    7·2 answers
  • The Histogram displays information about speeds of motorcycles in miles per hour. What is the number of motorcycles traveling le
    15·2 answers
  • The changing speed of a car is modeled by the function S() --4t+35, where t is time in seconds. Interpret the model
    8·1 answer
  • Please help i need the answers fast <br><br><br><br><br><br> A 19<br> B 28<br> C 33<br> D 35
    6·1 answer
  • A sketch is drawn that is 6 inches by 9 inches. It is put in a frame of uniform width. If the area of the sketch is
    13·1 answer
  • A manufacturer of pacemakers wants the standard deviation of the lifetimes of the batteries to be less than 1.8 months. A sample
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!