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If a person's eye level is

h
meters above sea level and she can see
d
kilometers to the horizon, then
=d3.6h
. Suppose the person can see
22.5
kilometers to the horizon. What is the height of her eye level above sea level?

User Ephemeris
by
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1 Answer

6 votes

Answer:

The height is 39 meters above sea level

Explanation:

The function that relates the person's eye level above sea level (h) and the kilometers the person can see to the horizon (d) is:

d = 3.6*√h

If the person can see 22.5 kilometers to the horizon, then the height of her eye level above sea level is obtained replacing this d value in the equation and solving for h, as follows:

22.5 = 3.6*√h

22.5/3.6 = √h

6.25^2 = h

h ≈ 39

User Pandora
by
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