the equation d=(1.35h)^1/2 represents the distance d (in miles) you can see out into the horizon where h is the height (in feet) of your eyes above ground level determine how tall a person is if he or she can see 2.75 miles out into the horizon
d=sqrt(1.35h)
2.75=sqrt(1.35h)
7.5625=1.35h
5.6=h
Therefore, the person is approximately 5.6 feet tall.
Well, if we plug in the given distance of 2.75 miles into the equation, we can solve for h:
2.75 = (1.35h)^1/2
To make things simpler, let's square both sides:
(2.75)^2 = (1.35h)
Now solve for h:
h = (2.75)^2 / 1.35
Calculating that out, we find:
h ≈ 5.63748 feet
So, if someone can see 2.75 miles out into the horizon, it means their eyes are approximately 5.63748 feet above the ground. But hey, don't forget to wear stilts to appear taller!
To determine the height of a person who can see 2.75 miles out into the horizon, we can rearrange the equation:
d = (1.35h)^1/2
First, substitute the known value of d = 2.75 miles into the equation:
2.75 = (1.35h)^1/2
To isolate h, square both sides of the equation:
(2.75)^2 = (1.35h)^1
Simplifying the left side gives:
7.5625 = 1.35h
Now, divide both sides by 1.35 to solve for h:
h = 7.5625 / 1.35
Calculating this expression, we find that h ≈ 5.615 feet.
Therefore, a person who can see 2.75 miles out into the horizon is approximately 5.615 feet tall.
To determine the height of a person who can see 2.75 miles out into the horizon, we can use the given equation:
d = (1.35h)^(1/2)
Here, "d" represents the distance in miles and "h" represents the height in feet. We need to substitute the value of "d" as 2.75 miles in the equation and solve for "h".
2.75 = (1.35h)^(1/2)
To solve this equation, we need to isolate the term with the unknown variable "h". In this case, we need to get rid of the exponent by raising both sides of the equation to the power of 2.
(2.75)^2 = (1.35h)^(1/2)^2
6.0125 = 1.35h
Now, we can solve for "h" by dividing both sides of the equation by 1.35.
6.0125 / 1.35 = h
h ≈ 4.45 feet
Therefore, a person who can see 2.75 miles out into the horizon is approximately 4.45 feet tall.