Respuesta :
Distance is directly proportional to the square root of the elevation is important here.
The square root of 36 feet (the elevation) is 6 feet.
Equation for direct proportion: y=kx (y is directly proportionate to x, k is the amount of proportion)
7.4 miles = 6 feet * k
7.4mi = 6feet* (1.233 * whatever the conversion rate is between feet and miles)
The same applies to 64: the square root of it will be directly proportionate to the distance.
√64 = 8
8feet*k = [thenumber_we_don't_know]miles
8*1.233 = {??}
= 9.84
The answer is 9.84.
The square root of 36 feet (the elevation) is 6 feet.
Equation for direct proportion: y=kx (y is directly proportionate to x, k is the amount of proportion)
7.4 miles = 6 feet * k
7.4mi = 6feet* (1.233 * whatever the conversion rate is between feet and miles)
The same applies to 64: the square root of it will be directly proportionate to the distance.
√64 = 8
8feet*k = [thenumber_we_don't_know]miles
8*1.233 = {??}
= 9.84
The answer is 9.84.
The person 64 feet above the water can see 9.84 miles.
It is given in the question that the distance to the horizon is directly proportional to the square root of the elevation of the observer.
if the elevation of the observer be h and distance to the horizon be x then:
[tex]x=k\sqrt{h}[/tex] where k is the constant of proportionality
from the given data:
[tex]7.4= k\sqrt{36}\\\\7.4=6k\\\\k=1.23[/tex]
So, if h = 64 feet then,
[tex]x=k\sqrt{h}\\\\x=1.23\sqrt{64}\\\\x=9.84 miles[/tex] is how far the person 64 feet above the water can see.
Learn more:
https://brainly.com/question/16998607
