Posted by **parker** on Thursday, February 3, 2011 at 7:44pm.

on a lake without any waves, how far from the shore is a sailboat when the top of 10 m mast disappears from view of a person whose eye height is one m above the water's edge

- surveying -
**MathMate**, Friday, February 4, 2011 at 8:13am
The distance D to the horizon in km by an observer at H m from the ground is given approximately by

D=3.56√H

The visible distance between two objects at H1 and H2 away from (the same) horizon is thus given by the sum of the distances, namely:

D=3.56(√H1+√H2)

=14.83 km.

See

http://en.wikipedia.org/wiki/Horizon

Follow the derivation of the formula to understand the geometry behind it.

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