/sci/ - Science & Math

[Anonymous No.12543811]

You look at an infinitely long ramp.

What do you see?

[Anonymous No.12543816]

>>12543811
depends of air clarity

[Anonymous No.12543821]

>>12543816
imagine the air is totally empty

[Anonymous No.12543822]

depends on the angle. if the angle is small, the height of the ramp increases, but it also gets further away, so from your perspective it stays the same.

at what angle would the height increase indefinitely?

[Anonymous No.12543833]

>>12543822
1 degree
would it just be flat? i would think it should still move upwards infinitely, no matter the degree

[Anonymous No.12543843]

>>12543833
no i mean, it would move upwards, but it would also be so far away that from your perspective it wouldn't seem to be increasing in height

[Anonymous No.12543859]

>>12543811

[Anonymous No.12543864]

>>12543811

[Anonymous No.12543877]

>>12543821
brightness decreases with distance, so it'd still vanish eventually

[Anonymous No.12543879]

>>12543859
i'm too stupid to understand... why wouldn't the ramp creep all the way up the horizon until it's straight above you?

[Anonymous No.12543881]

>>12543879
No. Look at the diagram again.

[Anonymous No.12543890]

>>12543881
alright, i'm happy with this. thanks
/thread

[Anonymous No.12543891]

>>12543822
What if it's an infinite angle?

[Anonymous No.12543908]

https://en.wikipedia.org/wiki/Vanishing_point

[Anonymous No.12544046]

>>12543908
not even close

[Anonymous No.12544050]

>>12543864
This is it

[Anonymou No.12544112]

why an infinitely long ramp? its not like you can even see something 10km away

[Anonymous No.12544141]

>>12543811

Connect a triangle by connecting my sightline to the beginning of the ramp, proceed co connect to some other arbitrary point on the ramp, and then return to my sightline. Let the distance along the ramp be a variable.

By the law of cosines, the length of my second sightline should arbitrarily increase as the distance along the ramp increases, as the squared term should dominate.

By the law of sines, the angle between my second sightline and the ramp should converge to 0, as the distance between my eye, and the start of the ramp is fixed, and because of the preceding discussion.

Because the sum of angles of a triangle is 180 degrees, the angle of my second sightline will converge to the supplementary angle of the angle between my first sightline and the ramp.

Because my sightline angle converges while following the ramp, the ramp will disappear into a vanishing point.

[Anonymous No.12544158]

>>12543811
situation A where person is looking up slope

[Anonymous No.12544160]

>>12544158
I made a slight mistake. The bottom edges of the the POV on the bottom should have no bottom.

[Anonymous No.12544171]

Situation B where the person is looking at an intersect to the slope.

[Anonymous No.12544174]

>>12544158
>>12544171
*not drawn to scale

[Anonymous No.12544176]

Nah I fucked this up. The only way the person would see the ramp if their vision was intersecting with the ramp.
Oh well hope you enjoy my art

[Anonymous No.12544181]

>>12544160
This would make it correct

[Anonymous No.12544190]

>>12543859
Interesting, I wonder if you can define right angles based on something about parallel lines intersecting at infinity.

[Anonymous No.12544196]

>>12543859
But it's infinitely tall

[Anonymous No.12544207]

>>12543811

[Anonymous No.12544254]

>>12543811

Assuming looking straight along the horizon
Assuming clear sky
Assuming perfect vision, imagine a camera with infinite resolution

If the angle of the ramp = your field of view:
The ramp fills your entire field of view. As you approach the upper edge of your field of view you see further along the ramp, reaching a limit at this edge where the entire ramp is visible. Top case in pic related. You can see the entire ramp. You cannot see the sky.

If the angle of the ramp < field of view:
The ramp partially fills your field of view. As you approach some point within your field of view you see further along the ramp, reaching a limit at this point where the entire ramp is visible. Middle case in pic related. You can see the entire ramp. Above this point, you can see the sky.

If the angle of the ramp > your field of view:
The ramp completely fills your field of view. The furthest along the ramp you can see is right at the edge of your field of view, right where your field of view and the ramp intersects. Bottom case in pic related. You cannot see the entire ramp. You cannot see the sky.

[Anonymous No.12544307]

pop quiz hotshot

[newnonymous No.12544316]

Our eyes has a minimum resolution limit after that it's just nothing. If you are accounting human eye limitations

[Anonymous No.12544360]

>>12543877
not if it's as bright as stars

https://en.wikipedia.org/wiki/Olbers%27_paradox

[Anonymous No.12544471]

>>12543821
A: you would die of asphyxiation

[Anonymous No.12544634]

The Great Beyond

[Anonymous No.12544647]

>>12543811

[Anonymous No.12544678]

>>12543891
What is an infinite angle? 360º is a full turn. What can be higher than that?

[Anonymous No.12544721]

>>12544196
Just imagine bigger and bigger ramps. No matter how tall the ramp gets, there's no paradox here and the pic holds.

[Anonymous No.12545150]

>>12543811
an infinitely long ramp.

[Anonymous No.12545311]

>>12543811
It keeps getting higher and higher until the slope of the ramp is approximately the slope from your eyes to where you're looking.

[Anonymous No.12545364]

This is kind of related but would it look like we're in a hollow Earth if the world was flat and infinite? Gravity would make light bend towards the ground and make it look like you're seeing more ground when looking over what would be the horizon right?

[Anonymous No.12545451]

>>12543811
Is OP very subtly trying to make everybody around confess that deep down they are flat earthers?