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From: Invisible
Subject: Trivial trigonometry
Date: 24 Nov 2009 10:13:37
Message: <4b0bf821$1@news.povray.org>
A little math help here? Wolfram Alpha is being bloody awkward at me...


side is 1 mile long, and the other side is 24 cm long. What are the 
other two angles??


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From: Neeum Zawan
Subject: Re: Trivial trigonometry
Date: 24 Nov 2009 10:27:39
Message: <4b0bfb6b@news.povray.org>
On 11/24/09 09:13, Invisible wrote:
> A little math help here? Wolfram Alpha is being bloody awkward at me...
>

> side is 1 mile long, and the other side is 24 cm long. What are the
> other two angles??

	That depends on whether one of those sides is the hypotenuse.

-- 
"Graphic Artist seeks Boss with vision impairment."


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From: scott
Subject: Re: Trivial trigonometry
Date: 24 Nov 2009 10:28:56
Message: <4b0bfbb8@news.povray.org>
> A little math help here? Wolfram Alpha is being bloody awkward at me...
>

> side is 1 mile long, and the other side is 24 cm long. What are the other 
> two angles??

Google "(24 cm / 1 mile) in degrees".

If you want more accuracy then it's going to depend on whether the 1 mile 
side is the one opposite the 90 degrees or not.

Google:

"asin(24 cm / 1 mile) in degrees"

or

"atan(24 cm / 1 mile) in degrees"


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From: Invisible
Subject: Re: Trivial trigonometry
Date: 24 Nov 2009 10:45:44
Message: <4b0bffa8$1@news.povray.org>
>> A little math help here? Wolfram Alpha is being bloody awkward at me...
> 
> Google "(24 cm / 1 mile) in degrees".

Ah, good old Google calculator. It may not know how to compute the 
Riemann zeta function, but it at least manages to do common math 
operations. :-D

Apparently it's 0.00854446724 degrees, which is about 30 seconds. That's 
some pretty fricken tiny angle!


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From: Fredrik Eriksson
Subject: Re: Trivial trigonometry
Date: 24 Nov 2009 10:46:12
Message: <op.u3worblq7bxctx@bigfrog.bredbandsbolaget.se>
On Tue, 24 Nov 2009 16:13:36 +0100, Invisible <voi### [at] devnull> wrote:
> A little math help here? Wolfram Alpha is being bloody awkward at me...
>

> side is 1 mile long, and the other side is 24 cm long. What are the  
> other two angles??

http://en.wikipedia.org/wiki/Right_triangle#Trigonometric_ratios_in_right_triangles



-- 
FE


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From: Invisible
Subject: Re: Trivial trigonometry
Date: 24 Nov 2009 10:56:16
Message: <4b0c0220$1@news.povray.org>
Invisible wrote:

> Apparently it's 0.00854446724 degrees, which is about 30 seconds. That's 
> some pretty fricken tiny angle!

According to Wikipedia:

"20/20 is the visual acuity needed to discriminate two points separated 


So I guess 30 seconds (0.5 minutes) could plausibly be within the range 
of normal human vision then.

I just noticed the other night that as I passed under a sign telling me 
the motorway exit was in 1 mile, I could already see the green traffic 
lights beyond the exit. And those lights can't be much more than 24cm 
across...


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From: Warp
Subject: Re: Trivial trigonometry
Date: 24 Nov 2009 11:00:54
Message: <4b0c0336@news.povray.org>
Fredrik Eriksson <fe79}--at--{yahoo}--dot--{com> wrote:
> On Tue, 24 Nov 2009 16:13:36 +0100, Invisible <voi### [at] devnull> wrote:
> > A little math help here? Wolfram Alpha is being bloody awkward at me...
> >

> > side is 1 mile long, and the other side is 24 cm long. What are the  
> > other two angles??

> http://en.wikipedia.org/wiki/Right_triangle#Trigonometric_ratios_in_right_triangles

  This is basic trigonometry which is taught in high schools in most places.

-- 
                                                          - Warp


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From: scott
Subject: Re: Trivial trigonometry
Date: 24 Nov 2009 11:01:17
Message: <4b0c034d$1@news.povray.org>
> "20/20 is the visual acuity needed to discriminate two points separated by 

>
> So I guess 30 seconds (0.5 minutes) could plausibly be within the range of 
> normal human vision then.
>
> I just noticed the other night that as I passed under a sign telling me 
> the motorway exit was in 1 mile, I could already see the green traffic 
> lights beyond the exit. And those lights can't be much more than 24cm 
> across...

Hmm, I can see an object perfectly fine with an angle of 10^-9 degrees.

Being able to see something and discriminate between two points is 
different.


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From: Invisible
Subject: Re: Trivial trigonometry
Date: 24 Nov 2009 11:05:42
Message: <4b0c0456@news.povray.org>
Warp wrote:

>   This is basic trigonometry which is taught in high schools in most places.

I did say "trivial", didn't I? ;-)

My education didn't include this information. Also, I have no idea how 
many centimeters there are in one mile.


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From: Warp
Subject: Re: Trivial trigonometry
Date: 24 Nov 2009 11:07:46
Message: <4b0c04d2@news.povray.org>
Invisible <voi### [at] devnull> wrote:
> I just noticed the other night that as I passed under a sign telling me 
> the motorway exit was in 1 mile, I could already see the green traffic 
> lights beyond the exit. And those lights can't be much more than 24cm 
> across...

  Lights can be seen much easier than other details.

-- 
                                                          - Warp


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