All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
Lean-to shelter (Posted on 2012-05-03) Difficulty: 3 of 5
A shelter is in a the shape of a long rectangle of width 1. The long side forms an angle of θ with the level solid ground. What is the largest of each of the following shapes that can be sheltered from the rain (as a function of θ)?

a) Sphere
b) Cube
c) Regular tetrahedron

As a bonus, for each shape, find the angle that maximizes it.

No Solution Yet Submitted by Jer    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
First Part (spoiler)Harry2012-05-06 11:20:12
answerDej Mar2012-05-04 03:26:06
re(2): some thoughts (Clarification.)Dej Mar2012-05-03 15:29:33
Hints/Tipsre: some thoughts (Clarification.)Jer2012-05-03 13:56:42
Some Thoughtssome thoughtsDej Mar2012-05-03 13:21:49
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information