Where Should You Tether a Dog for Maximum Play Area?

AI Thread Summary
The discussion centers on determining the maximum play area for a dog tethered with a 20-foot leash from various points (A, B, C). When tethered at point A, located in the middle of the upper wall, the leash allows the dog to reach the corners of the bottom wall, creating a circular area of play. The distance from point A to the corners is calculated to understand the effective play space. The shape of the area is circular, with the radius defined by the length of the leash. Understanding these distances and shapes is essential for maximizing the dog's play area.
kalbert
Messages
1
Reaction score
0
I am really not sure where to even start with this question, at which point, (A,B,C) would the dog have a maximum area to play if tethered by a 20ft leash?
 

Attachments

  • photoCABE5F18.jpg
    photoCABE5F18.jpg
    15.4 KB · Views: 476
Physics news on Phys.org
If the dog's leash is tied at point A, for example, how much area could be swept out by a 20-ft leash? What shape does the area have? Rinse and repeat for the other points indicated.
 
kAlbert said:
I am really not sure where to even start with this question, at which point, (A,B,C) would the dog have a maximum area to play if tethered by a 20ft leash?

Since point A is in the middle of the upper wall, it's pretty obvious that the furthest distance from this point would be at either corner on the bottom wall. Can you find the distance from A to either of those corners?
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
View full post »

Similar threads

A+b=236, What numbers to get a maximum product ab?
Replies
21
Views
3K
What is the Domain of the Area Function for a Rectangle on a Parabola?
Replies
15
Views
4K
Why cats are smarter than dogs
Replies
41
Views
4K
MHB Maximum area of rectangle which circumscribes the given quadrilateral.
Replies
21
Views
3K
Wood/Glass/Metal Doggie- lovers: what do dogs like? Ramp or step?
Replies
11
Views
1K
How to solve a geometry problem involving concentric rectangles?
Replies
8
Views
3K
How Do You Calculate the Total Area of Rectangles and Triangles Combined?
Replies
3
Views
2K
Game theory: competitive auction for the money in a chest
Replies
2
Views
2K
Perimeter relationships -- Dividing a rectangle into 4 triangles
Replies
2
Views
2K
Surface area of a sphere ##= \pi * (a^2+b^2+c^2+d^2)##
Replies
18
Views
2K

Hot Threads

Recent Insights

Back
Top