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Long's Peak in the Rocky Mountain National Park, is 14,255 ft in elevation.How far can you see to the horizon?
2.The equation gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a.Solve this equation for h.
Long’s Peak in the Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer.
From the top of Long's Peak, assuming a perfect horizon and no atmospheric refraction, you can see 146.3 miles. So yes, you can see Cheyenne, Wyoming (again, assuming that nothing keeps your view from being perfect).
Distance to Horizon due to Curvature of Earth = SQRT [ 2 R h ]
R = radius of Earth
h = height of eye above surface
I'll use Imperial units. I'll assume that for some reason your eyes are directly at 14,255 feet, not 5 feet above it, as if you were standing, instead of laying down.
R = 3,963 miles
h = 14,255 feet
Convert everything to feet for ease and accuracy (you could convert both to miles if you wanted, or furlongs, or whatever, as long as they're the same unit).
Distance in Miles = 1.23 *SQRT [ Eye Height (in feet) ]
But it gives the same answer.
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