My Dad needs help (Math related)

2007-06-12 12:00:52

#1

FFLink: There is.; +1,380|7161|Devon, England

Ok, he called me down earlier, as he has this dilemma. He needs to build this swimming pool thing for a job I think, I duno, he just asked me to work this out:

https://i31.photobucket.com/albums/c398/FFLink13/dadsimage-1.jpg

(birds eye view) (four 5.7 metre lengths, one 3.6 metre length)

That's the base line of the swimming pool. He needs to fit in three 2.4 metre long sheets in between each gap, to kind of create a circle. He just can't work out the measurements for it (neither can I). SO if someone could give me the angles that each sheet must go by, I'd appreciate it greatly.

So, I said I know some smart-ass people who can help (Que you lot)

Help would be greatly appreciated, just say if I missed something out.

Last edited by FFLink13 (2007-06-12 12:20:43)

2007-06-12 12:02:08

#2

Shem: sɥǝɯ; +152|6997|London (At Heart)

Between the outside reaches?

Easy peasy, give me a second and Ill do the calc

2007-06-12 12:04:24

#3

FFLink: There is.; +1,380|7161|Devon, England

By the way, it's birds eye view

2007-06-12 12:05:22

#4

Shem: sɥǝɯ; +152|6997|London (At Heart)

Yeah thats what I thought, just a second ill draw a diagram and you tell me if this is what you mean

EDIT:

I now understand you.

Basically you will end up with a regular octagon.

Meaning that the degrees of each angle will equal: 135 degrees an angle

Last edited by Shem (2007-06-12 12:08:10)

2007-06-12 12:09:05

#5

liquidat0r: wtf.; +2,223|7097|UK

What do you mean by in between the gaps? Like this?

https://img528.imageshack.us/img528/2158/untitledpe7.png

2007-06-12 12:10:16

#6

FFLink: There is.; +1,380|7161|Devon, England

liquidat0r wrote:
What do you mean by in between the gaps? Like this?

http://img528.imageshack.us/img528/2158/untitledpe7.png

Yeah

2007-06-12 12:10:37

#7

heggs: Spamalamadingdong; +581|6858|New York

Shem wrote:
Yeah thats what I thought, just a second ill draw a diagram and you tell me if this is what you mean

EDIT:

I now understand you.

Basically you will end up with a regular octagon.

Meaning that the degrees of each angle will equal: 135 degrees an angle

Don't forget to add the 3.6 m parts on the bottom there. That will change the angles. I'm still working on it currently.

Remember Me As A Time Of Day

2007-06-12 12:11:02

#8

Shem: sɥǝɯ; +152|6997|London (At Heart)

Im going to quickly draw myself one by hand to see if I am correct, I am using a hazy old understanding and may be wrong, If I am ill do it the long way.

heggs wrote:
Shem wrote:
Yeah thats what I thought, just a second ill draw a diagram and you tell me if this is what you mean

EDIT:

I now understand you.

Basically you will end up with a regular octagon.

Meaning that the degrees of each angle will equal: 135 degrees an angle
Don't forget to add the 3.6 m parts on the bottom there. That will change the angles. I'm still working on it currently.

Ah, crap, you're right.

Last edited by Shem (2007-06-12 12:11:28)

2007-06-12 12:11:25

#9

liquidat0r: wtf.; +2,223|7097|UK

Will the 2.4m sides be curved?

2007-06-12 12:14:37

#10

FFLink: There is.; +1,380|7161|Devon, England

Ok, I got it wrong. The total line at the bottom is 3.6 metres, so that's 1.8 each side

2007-06-12 12:15:16

#11

Yaocelotl: :D; +221|7120|Keyboard

The two top section will be of 8.061017306
The two bottom ones will measure 6.074537019

2007-06-12 12:15:52

#12

Shem: sɥǝɯ; +152|6997|London (At Heart)

By doing a quick sketch it looks as if it is impossible.

FFLink13 wrote:
Ok, I got it wrong. The total line at the bottom is 3.6 metres, so that's 1.8 each side

is the middle line 5.7 m as well at full length? or are both sides 5.7?

if they are it is impossible I believe.

Last edited by Shem (2007-06-12 12:17:27)

2007-06-12 12:17:39

#13

FFLink: There is.; +1,380|7161|Devon, England

Updated picture

Cheers all so far

Last edited by FFLink13 (2007-06-12 12:18:03)

2007-06-12 12:18:49

#14

FFLink: There is.; +1,380|7161|Devon, England

Shem wrote:
By doing a quick sketch it looks as if it is impossible.

FFLink13 wrote:
Ok, I got it wrong. The total line at the bottom is 3.6 metres, so that's 1.8 each side
is the middle line 5.7 m as well at full length? or are both sides 5.7?

if they are it is impossible I believe.

both sides are 5.7m so there's four 5.7m lengths in total.

SHit, typo

Last edited by FFLink13 (2007-06-12 12:25:52)

2007-06-12 12:20:50

#15

heggs: Spamalamadingdong; +581|6858|New York

Shem wrote:
By doing a quick sketch it looks as if it is impossible.

FFLink13 wrote:
Ok, I got it wrong. The total line at the bottom is 3.6 metres, so that's 1.8 each side
is the middle line 5.7 m as well at full length? or are both sides 5.7?

if they are it is impossible I believe.

Each section. I need to give link a lesson on technical drawing.

Remember Me As A Time Of Day

2007-06-12 12:23:50

#16

FFLink: There is.; +1,380|7161|Devon, England

https://i31.photobucket.com/albums/c398/FFLink13/dadsimage2.jpg

Does that help?

2007-06-12 12:24:39

#17

Shem: sɥǝɯ; +152|6997|London (At Heart)

FFLink13 wrote:
Shem wrote:
By doing a quick sketch it looks as if it is impossible.

FFLink13 wrote:
Ok, I got it wrong. The total line at the bottom is 3.6 metres, so that's 1.8 each side
is the middle line 5.7 m as well at full length? or are both sides 5.7?

if they are it is impossible I believe.
both sides are 5.7m so there's four 5.4m lengths in total.

As far as I can tell, it is impossible.

I might be wrong, so I'll let others who have an idea go for it.

Last edited by Shem (2007-06-12 12:29:33)

2007-06-12 12:26:41

#18

FFLink: There is.; +1,380|7161|Devon, England

Shem wrote:
FFLink13 wrote:
Shem wrote:
By doing a quick sketch it looks as if it is impossible.

is the middle line 5.7 m as well at full length? or are both sides 5.7?

if they are it is impossible I believe.
both sides are 5.7m so there's four 5.4m5.7m lengths in total.
As far as I can tell, it is impossible.

I might be wrong, so I'll let others who have an idea go for it.

Oops

2007-06-12 12:28:27

#19

Titch2349: iz me!; +358|6822|uk

Its impossible. For the Top 2 Sections at least.

The gap between the two ends of the sections is 8.06.......m

The 3 2.5m sheets are only 7.2... so you cannot do it

-----------------------

How I worked it Out-

Simple Pythagorus Theorum.

5.7² + 5.7² = length_between_them_²

64.98 = length_between_them_²

8.06 = length_between_them_

Last edited by Titch2349 (2007-06-12 12:32:45)

2007-06-12 12:34:31

#20

FFLink: There is.; +1,380|7161|Devon, England

Would it be possible if the boards aren't EXACTLY 2.4m? They can be cut down to size, as long as 3 boards are fitted in each gap, and those boards lengths are equal with a MAX length of 2.4 metres.

My dad didn't tell me it all...

2007-06-12 12:35:18

#21

Shem: sɥǝɯ; +152|6997|London (At Heart)

The way I worked it out, was drawing a diagram of all the dimensions listed, I came to a halt when trying to make a triangle, I realised that one of the lengths was far too short.

I wont put my working as I've never been one to show it well.

FFLink13 wrote:
Would it be possible if the boards aren't EXACTLY 2.4m? They can be cut down to size, as long as 3 boards are fitted in each gap, and those boards lengths are equal with a MAX length of 2.4 metres.

My dad didn't tell me it all...

No its impossible

Last edited by Shem (2007-06-12 12:38:17)

2007-06-12 12:36:29

#22

Titch2349: iz me!; +358|6822|uk

FFLink13 wrote:
Would it be possible if the boards aren't EXACTLY 2.4m? They can be cut down to size, as long as 3 boards are fitted in each gap, and those boards lengths are equal with a MAX length of 2.4 metres.

My dad didn't tell me it all...

For the top section to work, the boards need to be at least 2.73333333333333333m long (and only then they will just be a line... not a funky shape.

Last edited by Titch2349 (2007-06-12 12:37:00)

2007-06-12 12:41:49

#23

liquidat0r: wtf.; +2,223|7097|UK

Pythagoras says: "No, your 2.4m boards are too short"

https://img503.imageshack.us/img503/9186/untitled1ue9.png

sqrt(5.7^2 + 5.7^2) > 3 * 2.4

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