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Subject: Re: horizon visibility puzzle
From: Aubrey O'Callaghan (ocallaghan@XXX.XXX)
Date: Wed Jun 20 2001 - 16:27:47 EDT
Basically this is a distance to horizon problem:
On the 777 m hill you can see:
1.144 sqrt( 777*3.281) = 57.76 n. miles
On the 401 m hill you can see
1.144sqrt(401*3.281)= 41.5 n miles
now hills are 35 km apart 35/1.8=19.44 n. miles
If 777 and 401 m hill were at same place the difference in distance viewed
would be 16.26 n miles
If we move 401 m hill forward 16.26 n miles we can both see the same point.
Therefore this is the line cutting both top of both hills to horizon.
But we have moved it forward 19.44 n .miles so 401 hill will block 777 hill.
We cannot see the ocean from 777 hill due to presence of 401 hill.
Aubrey.
At 03:17 PM 20-06-01, you wrote:
>You are ashore, 777 meters above sea level, looking toward the ocean.
>In your line of sight, 35 kilometers away, is a hill 401 meters high.
>Can you see the ocean over the top of this hill?
>
>This is an actual question someone has asked. I've come up with an
>answer, but am curious how others might solve the problem. One person
>approached it from a completely different direction than I used but
>got the same answer.
>
>--
>
>
>paulhirose@XXX.XXX (Paul Hirose)
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