You are intelligent correct ?

You know TRIG right ??

You know basic curvature x 8 mass ?

Correct ?

So try and disprove a factual mathematical equation on your round earth stance ok ??

= Horizon distance 3 MilesHidden Amount

= 2166.46 Feet'Bulge'

Height = 600.16Working (in feet, unless noted):

Distance d = (Miles*5280), d = 316800

Radius of Earth r = 3959*5280,

r = 20903520 Distance to horizon,

a = sqrt((r+h)*(r+h) - r*r),

a = 15838.001010228532

Distance to horizon (in miles) = a/5280 = 2.9996214034523736

Amount obscured x = sqrt(a*a - 2*a*d + d*d + r*r)-r,

x = 2166.4636212289333

The following is the amount obscured calculated using slightly more complex trig

And assuming the 'distance' is the distance across the surface of the earth

This is more accurate for large distances and heights

But essentially the same for distances under 100 miles

True obscured x = r/cos( d/r - asin(sqrt(h*(2*r+h)) / (r+h) ) ) - r x = 2166.7630795799196 'Bulge'

b = r-sqrt(4*r*r - d*d)/2,

b = 600.1601690091193

Bulge is the amount of rise of the earth's curve from a straight line connecting two points on the surface

This means this video and any others cant exist the Chicago skyline would be in fact 2166 feet below the horizon !

Conclusion no curve ! ****************************************************************************************************

Suppose that the earth is a sphere with a radius of 3,963 miles. If you are at a point P on the earth's surface and move tangent to the surface a distance of 1 mile then you can form a right angled triangle.

-Looking over a distance of 1 mile, we can use the theorem of Pythagoras:

a2 = 3,963^2 + 1^2 = 15,705,370

and when we square root that figure we get a = 3,963.000126 miles

Thus your position is 3,963.000126 - 3,963 = 0.000126 miles above the surface of the earth.

0.000126 miles = 12 in * 5,280 ft * 0.000126 mi = 7.98 inches

Hence after one mile the earth drops approximately 8 inches.

-Ergo, looking across 30 miles the Pythagorean theorem becomes:

a2 = 3963^2 + 30^2 = 15,706,269

and when we square root that figure we get a = 3,963.113549 miles

Thus your position is 3,963.113549 - 3,963 = 0.113549 miles above the surface of the earth

0.113549 miles = 5,280 ft * 0.113549 mi = 599.53872 feet

Hence after 30 miles the earth drops approximately 600 feet.

ON TOP OF THAT (THIS IS GOING TO BLOW YOUR MIND) :

EXACT FORMULA IS HERE :

http://www.zaslike.com/files/7w8b10cxrexp48udmv7w.jpgA SIMPLIFIED FORMULA is from spherical geometry: n miles x n miles x 8 inches=6x6x8=288inches = 24 feet.

The drop down has to finally make a full circle and not a slope.

If the circumference of the earth ball on the equator is 24 902 miles,

the 1/4 of that distance from point A to point B is 6 225 miles and 1/4 on the surface of the ball makes a 90 degree angle between point A and point B (through the center of the ball) which means that the drop down from the level of point A to the level of point B equals the radius of the earth=3 963 miles.

That is a HUGE drop down on the distance of just 6 225 miles!!! HUGE. It should be very easily observable but it is NOT! Lol

And finally, the distance to Chicago skyline from which Joshua has taken his picture = 60 miles indeed...watch :

http://www.abc57.com/story/28925566/mirage-of-chicago-skyline-seen-from-michigan-shoreli