troubleshooting Question

Geometry of using a ladder?

Avatar of nickg5
nickg5Flag for United States of America asked on
Math / Science
12 Comments3 Solutions580 ViewsLast Modified:
It's been a long time since I used geometry.

Extension ladder:
1. It is imperative that you understand that an extension ladder must extend 3 feet above the top landing.
3. The correct angle for an extension ladder should be ¼, meaning that for every 3-4 feet up, the ladder should be 1 foot out away from the base.
6. The sections of the extension ladder must overlap by at least 3 feet.
http://nationalsafety.wordpress.com/2010/04/20/the-basics-of-extension-ladder-safety/

So, a 28 foot two piece extension ladder, would be about 7 feet from the base.
28 / 4 = 7.

A. What is the angle of the ladder in relation to perpendicular (straight up which would be 90 degrees)
B. If the two sections need to overlap 3 feet, and the top needs to be 3 feet above the landing, and the angle needs to be "x degrees from perpendicular," how high can this 28 foot ladder reach?

-----------------------------------------------
I tried to draw a diagram using Paint but failed.

So, 7 feet from bottom of ladder to the building.
Top of ladder 3 feet above the top edge of building.
What is the angle and what is the height able to be reached?
Join the community to see this answer!
Join our exclusive community to see this answer & millions of others.
Unlock 3 Answers and 12 Comments.
Join the Community
Learn from the best

Network and collaborate with thousands of CTOs, CISOs, and IT Pros rooting for you and your success.

Andrew Hancock - VMware vExpert
See if this solution works for you by signing up for a 7 day free trial.
Unlock 3 Answers and 12 Comments.
Try for 7 days

”The time we save is the biggest benefit of E-E to our team. What could take multiple guys 2 hours or more each to find is accessed in around 15 minutes on Experts Exchange.

-Mike Kapnisakis, Warner Bros