The distance, in km, to the horizon is directly proportional to the square root of the height, in meters, of the observer from the ground. From a building 64 m above the ground, the furthest distance a person can see is 25.6 km. What is the farthest distance that a parachutist 576 m above the ground can see?
Answers
Given : The distance, in km, to the horizon is directly proportional to the square root of the height, in meters,
From a building 64 m above the ground, the furthest distance a person can see is 25.6 km.
To Find : What is the farthest distance that a parachutist 576 m above the ground can see?
Solution:
d = distance, in km, to the horizon
h = height in m
d ∝ √h
=> d = k√h
25.6 = k √64
=> 25.6 = k (8)
=> k = 25.6/8
=> k = 3.2
d = 3.2√h
h = 576
=> d = 3.2√576
=> d = 3.2(24)
=> d = 76.8
farthest distance that a parachutist 576 m above the ground can see = 76.8 km
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