Because of the Earth’s curvature, a person can see a limited distance to the horizon. The higher the location of the person, the farther the person can see. The distance D in miles to the horizon can be estimated by D(h)=1.22√h, where h is the height of the person above the ground in feet. How high does a person need to be to see 28 miles? A person need to be about ? many feet high.
To find out how high a person needs to be to see a certain distance, we can use the formula D(h) = 1.22√h, where D(h) represents the distance to the horizon in miles and h represents the person's height above the ground in feet.
Given that we want to find the height at which a person can see 28 miles, we can set up the equation as follows:
28 = 1.22√h
To isolate h, we need to divide both sides of the equation by 1.22:
28/1.22 = √h
Now, we can square both sides of the equation to get rid of the square root:
(28/1.22)^2 = h
Calculating, we find:
h ≈ 465.41
Therefore, a person would need to be approximately 465.41 feet high to see a distance of 28 miles.