Question

The formula below can be used to find the distance, d, a person can see to the horizon, where dis the distance measured in miles and h is the person's height above the surface of the Earth in feet. d= V1.75h If a person standing on a platform can see a landmark that is 20 miles away with binoculars, what is the maximum height of the platform, to the nearest foot?

Answer 1

The maximum height of the platform, to the nearest foot is 229 feet. Option D

From the information given, we have that;

d = √1.75h

Such that the parameters are given as;

• d is the distance measured in miles and
• h is the person's height above the surface of the Earth in feet.

Now, we have to substitute the values, we get that;

20 = √1.75h

find the square of both sides, we get;

400 = 1.75h

Now, divide both side by the coefficient of the height, h, we get;

h = 400/1.75

divide the values, we get that;

h = 229 feet