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
alex41 [277]
11 months ago
7

a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

traight path. how fast is the tip of her shadow moving when she is 45 ft from the base of the pole?
Mathematics
1 answer:
shutvik [7]11 months ago
6 0

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman  = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\

To find the speed, we have to differentiate both sides with respect to time 't'

\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

You might be interested in
Place the following numbers in order from least to greatest
topjm [15]

Answer:

-8.2,-2 1/2, 0.4,2.4

Step-by-step explanation:

hope that helps

4 0
3 years ago
Emma spent $38.22 on 3 dozen bagels and a gallon of iced tea. The price of the gallon of iced tea was $5.25. The following equat
Masja [62]
3d + $5.25 = $38.22
3d= $38.22-$5.25
= $32.97
d= 32.97/3
=$10.99

a dozen of bagels costs $10.99
6 0
2 years ago
Can someone please help me
Misha Larkins [42]
Try 9cm but I’m not quite sure please reply if it’s wrong or right
6 0
3 years ago
Read 2 more answers
On a school trip to a theme park, four busses each carry 105 students. 35% of the students are bringing their own lunch. 3/7 of
vodka [1.7K]

Answer:

We have a lunch pack for her lunch

3 0
2 years ago
Write 9x - 8 as a verbal expression <br><br> Please the fast as possible!
Natalka [10]

Answer:

8 subtracted from the product of 9 and x

Hope this helps!

4 0
2 years ago
Other questions:
  • 1.Given a∥b , and c is not parallel to a or b, which statements must be true?
    9·2 answers
  • Need help with 20 please!!!!!!!!
    11·2 answers
  • What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
    11·1 answer
  • Los numeros primos menores que 15​
    12·2 answers
  • If it's possible to tell, decide if a and b are positive or negative: a-3&gt;b-3 and b&gt;4
    9·1 answer
  • 5x-6y=-4 <br> -6x+6y=-6 <br> solve using elimination <br> HELP.
    15·1 answer
  • What type(s) of symmetry does the figure have? (Check all that apply.)
    13·1 answer
  • 16
    15·1 answer
  • Sales tax in your community is 6 percent. If you go to a sporting goods store and buy a soccer ball for $19.95, socks for $5.95,
    7·1 answer
  • The price of a gallon of unleaded gas has risen to $2.85 today. Yesterday's price was $2.80. Find the percentage increase. Round
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!