Posted by Loki on Thursday, August 15, 2013 at 11:33pm.
A person standing h feet above sea level can seecd miles to the horizon. The distance r is the radius of the earth = 3963 miles. d is the tangent to the circle forming a right angle to the radius. h + r is the tangent. Solve using Pythagorean theorem and secanttangent theorem. I don't know if this is important but the question also says mount everest summit reaches 29,035 feet above sea level.

Geometry  Steve, Friday, August 16, 2013 at 4:09am
If you draw a triangle where the hypotenuse is r+h (the elevated observation point), and the distance to the horizon is d, then
r^2+d^2 = (r+h)^2

Geometry  Loki, Friday, August 16, 2013 at 5:40am
Thanks Steve. I got it. Forgot to convert feet to miles when calculating.
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