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

Home > Shapes
Two ways up (Posted on 2002-05-05) Difficulty: 3 of 5
A tower, 200 feet high, has an elevator inside it, and a spiral stairway winding its way around the tower at a constant 30 degree angle with the horisontal.

Given the tower's radius of 10 feet, what is the difference between the distance covered by a person going up in the elevator, versus one climbing the stairs?

See The Solution Submitted by levik    
Rating: 2.7500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Correction | Comment 5 of 14 |
Ooops, after re-reading the question the distance i gave is incorrect, if the tower's radius is 10 feet then the circumference is 20*pi; and the distance traveled on the spiral for every foot traveled on the elevator is 10*sqrt(2) or 14.14 ft.. that's a leeeetle bit more than I said at first.

10sqrt(2) * 200 - 200 = 2628 feet more
  Posted by nate on 2002-05-07 05:27:07
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (5)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information