MAth help please

I'm going to build a campus board set up and have a 10.5' ceiling height to work with. Considering a 15 degree angle - how long a 2x6 will I need to make this. It's been nearly 50 years since HS math class and I forget how to figure it. Any help from your smart young wizards appreciated.

Longer than 10'6"!

(Edited earlier post. Too quick off the mark!)

10.5' / cos(15 degrees) = 10.5' / 0.966 = 10.87'

Martin I think that's backwards somehow. The board is going to have to be longer than 10.5' - do you mean longer by that amount? That sounds like how far out the top of the board might stick out?

Sorry - I posted after only the first answer.

This ought to do it, Chris

http://www.calculator.net/triangle-calculator.html?vc=90&vx=&vy=10.5&va=&vz=&vb=15&angleunits=d&x=47&y=7

Thanks guys!

There are three types of people in this world. Those that are good at math and those that are not.

marty funkhouser wrote:There are three types of people in this world. Those that are good at math and those that are not.

You guys are hilarious. If it is only a 15deg angle, its only just barely longer than the 10.5'. Martin is correct at 10.87'.

Ask the salesperson at Home Depot where to find the 2"x6"x10 and 7/8' pile....I advise you to pick up 12 footers. Use the scrap for rungs.

Cheers

To be utterly pedantic, the 10.87' board will need one end mitered in order to fit. If you miter both ends, so as to make each end perfectly flush with both floor and ceiling, you will need to start with a board slightly longer than 10.87'. (Assuming your ceiling is exactly 10.5' high; how confident are you of that?)

Jeremy B. wrote:To be utterly pedantic, the 10.87' board will need one end mitered in order to fit. If you miter both ends, so as to make each end perfectly flush with both floor and ceiling, you will need to start with a board slightly longer than 10.87'. (Assuming your ceiling is exactly 10.5' high; how confident are you of that?)

Jeremy B. wrote:To be utterly pedantic, the 10.87' board will need one end mitered in order to fit. If you miter both ends, so as to make each end perfectly flush with both floor and ceiling, you will need to start with a board slightly longer than 10.87'. (Assuming your ceiling is exactly 10.5' high; how confident are you of that?)

Good luck finding a tape measure that'll show you the .87"

Mike Lane wrote:  Good luck finding a tape measure that'll show you the .87" 

.87” also known as 7/8".

Greg D wrote: .87 also know as 7/8".

Beat me to it Frank - you are right. Also, very close to 10 7/16 inches.

marty funkhouser wrote:There are three types of people in this world. Those that are good at math and those that are not.

• Those who think there are two kinds of people in the world.
• Those who don't.
• Those who can't count.

kenr wrote: actually there are two kinds of people in the world: * Those who think there are two kinds of people in the world. * Those who don't. * Those who can't count.

There are 10 kinds of people in the world: those who understand binary, and those who do not.

Ask the Indian princess Sohcahtoa.