Good at math or not?

[LANDM]

And are you asking for a horizontal view or by "south" do you mean towards the South Pole. If that is the case, then about 70 inches.i will leave the trivial conversion to km to you.

[TreeGuy]

Is it snowing hard like it is right now?

[LANDM]

I’ve instructed Fraü Farbissina to release a highly trained swallow, laden only with a gps tracker, so I can do the calculations on the second scenario from here and I will back up with figures from the appropriate mapping software. I usually use unladen swallows but they are only good for airspeed calculations.

The first scenario is simply a bit of trivial math.

I have given the answer for the third scenario.

[alanjh595]

Good at math? Lets see if someone comes up with the answer for this super important, real world practical math question.---
---At the first lookout area up Knox Mountain...how far can you see line of sight in kilometers looking south assuming no surface obstacles ?
Show your work. Marks will be taken off if you don't.

I would have to know the elevation of the lookout point. I think I have the equation using the 3 4 5 rule and taking in the account of the curvature of the Earth. I could come up with the answer in miles and would just have to convert it to kms.

[Catsumi]

Gazing in a southerly direction, the sky is within my field of vision. I would be gazing into a boundless universe.

My answer: infinity

[Bsuds]

"The Earth's surface curves out of sight at a distance of 3.1 miles, or 5 kilometers. But our visual acuity extends far beyond the horizon. If Earth were flat, or if you were standing atop a mountain surveying a larger-than-usual patch of the planet, you could perceive bright lights hundreds of miles distant. On a dark night, you could even see a candle flame flickering up to 30 mi. (48 km) away."

https://www.livescience.com/33895-human-eye.html

[TreeGuy]

My answer: potato salad.

[GenesisGT]

Gazing in a southerly direction, the sky is within my field of vision. I would be gazing into a boundless universe.

My answer: infinity

The maximum distance one can see from the earth is 46Billion light years, making your answer nonsensical, nobody can see infinity.

[GenesisGT]

Uhhh. 13.35 Gly is it not?

Universe is 13Billion years old, that is the oldest light one can see, but the edge of the universe is 46B LYrs from Knox Mtn.

[Jhunter199]

Good at math? Lets see if someone comes up with the answer for this super important, real world practical math question.---
---At the first lookout area up Knox Mountain...how far can you see line of sight in kilometers looking south assuming no surface obstacles ?
Show your work. Marks will be taken off if you don't.

Im gonna go with "C"

or maybe true....

[LANDM]

but the edge of the universe is 46B LYrs from Knox Mtn.

Ahhhhh, the age-old human mistake of thinking we are the center of the universe.

[Ka-El]

We're not even near the centre of our own galaxy - and that's a very good thing for us.

[Verum]

A. 34.23km
B. 17.98km
C. 41.87Km
D. 49.02km

Answer C. Good job 'Jhunter199' ...you got it right!

Lookout 445m above sea level
Lake level 342m above sea level
103 m/338 ft above lake surface level
sq.root of 338ft =18.38
18.38 x 1.23 =22.61nm
= 41.87 kms
Next time you are at the first lookout at Knox Mountain you will know the super important info that you can see for 41.87 km.

I got a different answer, but I could be wrong, that if the elevation is 103m, taking into account the curvature of the Earth, you can see roughly 36.2km. I worked this out using trig and Pythagoras' theorem, both giving answers within a few mm of each other.
Radius of earth in m 6.371*10^6, a^2+b^2=c^2 a=distance from centre of earth to lake level (6371342m), b=distance from eyes to horizon(x), c=distance from eyes to centre of earth(6371445)
=> 6371342^2+x^2=6371445^2
=> x=(6371445^2-6371342^2)^0.5
=36228.54m

[GenesisGT]

The wonder of math, both answers are correct.

41.8km is the radio horizon distance (radio horizon) =4.12 * height of the antenna(square root)

36.2km is the line of sight distance

[Ka-El]

Just thought I would come up with a really dumb practical math application for the Kelowna area.

Still, all very impressive answers