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The farthest place where you can spot the head of Mt. Everest from the mountain itself?

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Actually, I'm just trying to guess the farthest place where you can spot the head of Olympus Mons in Mars -coz it's like u know 21KM in height- by comparing Mt. Everest on Earth with it and get amazed by the result :D
asked Aug 19, 2013 in Culture by pance (50,970 points)

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This assumes Earth and Mars are spherical.
The equation we need is : d = R*arccos[R/(R + h)], where,
d = distance along surface of planet, from observer to centre of mountain (km).
R = mean radius of planet (Earth: R = 6371.0 km , Mars: R = 3386.2 km)
h = height of mountain (Mt. Everest: 8.848 km , Olympus Mons: 21 km)

For Mt. Everest, d = 6371.0*arccos[6371.0/(6371.0 + 8.848)] = 336 km.

For Olympus Mons, d = 3386.2*arccos[3386.2/(3386.2 + 21)] = 376 km.

This difference of 40 km doesn't seem like much, but it's because Mars is much
smaller than Earth. If Olympus Mons was on Earth, the distance would be 517 km.

Similarly, if Mt. Everest was on Mars, the distance would be 245 km.
answered Aug 19, 2013 by ccee (307,900 points)
selected Aug 19, 2013 by pance

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