Question

Kaylib’s eye-level height is 48 ft above sea level, and Addison’s eye-level height is 85 and one-third ft above sea level. How much farther can Addison see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, with d being the distance they can see in miles and h being their eye-level height in feet.
StartRoot 2 EndRoot mi
2 StartRoot 2 EndRoot mi
14 StartRoot 2 EndRoot mi
28 StartRoot 2 EndRoot mi

Answer 1

Use d = sqrt(3h/2).

For Addison, h = 85 1/3 = 256/3:
d_A = sqrt((3*(256/3))/2) = sqrt(256/2) = sqrt(128) = 8√2 miles.

For Kaylib, h = 48:
d_K = sqrt((3*48)/2) = sqrt(144/2) = sqrt(72) = 6√2 miles.

Difference = 8√2 − 6√2 = 2√2 miles.

Answer: 2√2 mi.