SOLUTION: The distance a person can see to the horizon from a point above the surface of Earth varies directly as the square root of the height. If, for the height of 500ft, the horizon is
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Question 524893: The distance a person can see to the horizon from a point above the surface of Earth varies directly as the square root of the height. If, for the height of 500ft, the horizon is 19 miles away, how far is the horizon from a point that is 800 ft. high? Round answer to the nearest hundredth.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The distance a person can see to the horizon from a point above the surface of Earth varies directly as the square root of the height.
d = k*sqrt(h)
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Solve for "k" using "for the height of 500ft, the horizon is 19 miles away"
19 = k*sqrt(500)
k = 19/sqrt(500) = 0.8497
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Equation:
d = 0.0497*sqrt(h)
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How far is the horizon from a point that is 800 ft. high? Round answer to the nearest hundredth.
d = 0.8497*sqrt(800)
d = 24 miles
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Cheers,
Stan H.
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