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
Kaylis [27]
3 years ago
15

A 5 foot tall person walks away from a 12 foot tall lamppost at a constant rate of 4 feet per second. What is the rate that the

tip of the shadow moves away from the lamppost when the person is 9 feet away from the pole?
Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Solution :

Given :

The height of the person is 5 foot.

The height of the lamppost is 12 foot.

Speed of the person away from the lamppost = 4 ft/s

Let the distance of the tip of the shadow of the perosn to the pole at t seconds after the person started walking away from the pole be d(t).

By similarity of the triangles, we see that

$\frac{12}{d}=\frac{5}{x}$  .................(i)

Here x is the distance from the person to the tip of the shadow. As it is given the speed of the person is 4 ft/s, then the distance of the person from the pole 4t. So we have,

x = d - 4t  .............(ii)

Putting (ii) in (i) and solving for d is

d(t) = 6.85 t

So now if we derive d(t), we will get the wanted rate of the tip of the shadow.

∴ d'(t) = 6.85 ft/s

You might be interested in
The two cones below are similar. What is the value of x? If necessary, round your answer to two decimal places.
julsineya [31]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Below is the solution:

10:4 = 6:x 
<span>10/4 = 6/x </span>
<span>10x = 24 </span>
<span>x = 2.4</span>
5 0
3 years ago
Read 2 more answers
I need help on this asap (math)
prisoha [69]

Answer:

the second one

Step-by-step explanation:

when you multiply 2 negative numbers they turn into a positive

15/-5=-3

3 0
3 years ago
Read 2 more answers
9(5x + 1) ÷ 3y
Ad libitum [116K]

, 15x+3/y...............

4 0
2 years ago
Dale made a model of a lighthouse using a 4 inches=50 feet if the lighthouse is 120 feet tall, how tall is his model
olchik [2.2K]

Answer:

8 2/5 inches!

Step-by-step explanation:

The lighthouse is 120 feet, and 4 inches of height on the model equals 50 feet of height on the lighthouse. 100 divided by 50 = 2, and 4 multiplied by 2 is 8. 20 divided by 50 = 2/5, so the answer is 8 2/5 inches. :)

3 0
3 years ago
Hay everyone um i don't have many friends bc i just join today
ella [17]

Answer:

np u can be my friend just comment ur discord account

7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the equation for x, where x is a real number (5 points): <br> 2x^2 + 8x + 3 = 0
    12·1 answer
  • A 37 bag sample had a mean of 421 grams. Assume the population standard deviation is known to be 29. A level of significance of
    10·1 answer
  • Ryan must read 150 pages for school tomorrow.
    12·1 answer
  • Anyone know how to do the first one
    14·2 answers
  • what is the cost of 8 books at $4 each? what is the cost of x books at $4 each? what is the cost of 5 books at $x each ?​
    7·1 answer
  • Find the highest common factor of 12 16 and 20​
    14·1 answer
  • 5x/6-x/3+1 =8/9 <br> Find the LCD that would eliminate the fractions
    12·1 answer
  • 110 divided by 4 using partial quotient
    9·2 answers
  • A force of 72 N is applied to an area of 610 cm2.
    8·1 answer
  • On a hike, Maria walked up a hill in 30 minutes, and then she ran back down the hill in 10 minutes. Which of the following graph
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!