I dont understand ways to figure this math out?

I know you can use d = the squar root (2rh + h squared)


r=earths radius in km


h is your height in km above sea level





is there anymore?I dont understand ways to figure this math out?
assuming you want a proof of your formula:


create a triangle using the height of mount everest (h), and the radius of the earth (r). you seem to have done that.


they form a right triangle. r and d (distance to the horizon) are the legs, and h+r is the hypotenuse.


by the Pythagorean formula, (h+r)^2=r^2+d^2


solving for d yields the formula above





this is the most straightforward strategy.


you could also use geometry and apply theorems regarding tangent lines and inscribing angles but that doesn't sound so fun.

freckles