Question

Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula with d being the distance they can see in miles and h being their eye-level height in feet. 1 mi

Answer 1

The answer is √6 mi.

The formula is: d = √(3h/2)

Pam:
h = 324 ft
d = √(3 * 324/2) = √486 = √(81 * 6) = √81 * √6 = 9√6 mi

Adam:
h = 400 ft
d = √(3 * 400/2) = √600 = √(100 * 6) = √100 * √6 = 10√6 mi

How much farther can Adam see to the horizon?
Adam - Pam = 10√6 - 9√6 = √6 mi