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# The number of miles a person can see to the horizon from a

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Manager
Joined: 04 Sep 2005
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The number of miles a person can see to the horizon from a [#permalink]  23 Nov 2005, 14:50
The number of miles a person can see to the horizon from a point above the surface of the earth is 0.85 of the square root of the persons distance above the surface. Jack is 85 feet higher and sees 4.25 miles farther than Jill. How high are Jack and Jill above the surface?
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Joined: 24 Sep 2005
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Re: Sight Distance [#permalink]  23 Nov 2005, 18:40
aikido_fudoshin wrote:
The number of miles a person can see to the horizon from a point above the surface of the earth is 0.85 of the square root of the persons distance above the surface. Jack is 85 feet higher and sees 4.25 miles farther than Jill. How high are Jack and Jill above the surface?

Let x and y be the distance of Jack and Jill above the earth's surface respectively.
we have: 0.85sqrt x - 0.85sqrt y= 4.25 miles= 26,400 feet
x-y= 85

solve these two equations to get x and y.

Btw, I remember from physics lesson that people's sight (unblocked by obstacle like buildings,etc...) is infinite
Director
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Nice job.

BTW, do we have to know mile:feet conversion rate?
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Manager
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gamjatang wrote:
Nice job.

BTW, do we have to know mile:feet conversion rate?

Yes you would need the conversion. I got this out of an old math text book so it's not an official GMAT question.
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