In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by evaluating the expression 12h−−−√. About how far is the apparent horizon to a person looking out to sea from the top of a cliff 350 meters above sea level?

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15-05-2018
Mathematics

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In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by evaluating the expression 12h−−−√. About how far is the apparent horizon to a person looking out to sea from the top of a cliff 350 meters above sea level?

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11beehshahbaz 11beehshahbaz · Answer 1 · 2018-05-24T16:32:32+02:00

In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by evaluating the expression

[tex]d= \sqrt{12h} [/tex]

We are given the height h of a person from surface of sea level to be 350 m and we are to find the the distance to horizon d. Using the value in above expression we get:

[tex]d= \sqrt{12*350}=64.81 [/tex]

Therefore, the approximate distance to the horizon for the person will be 64.81 km