8
QuizMultiple Choice

Exploring the Real Number System through Public Health — Test

Question 8 • College Readiness Mathematics

Kaylib’s eye-level height is 48 ft above sea level, and Addison’s eye-level height is 85 and 1 third ft above sea level. How much farther can Addison see to the horizon? Use the formula d is equal to square root of 3 h over 2 end root , with d being the distance they can see in miles and h being their eye-level height in feet.

Answer
A
14 square root of 2 mi
B
28 square root of 2 mi
C
square root of 2 mi
D
2 square root of 2 mi

Explanation

For Kaylib, d = √(3 × 48 ÷ 2) = √72 = 6√2 miles. For Addison, 85⅓ = 256/3, so d = √(3 × 256/3 ÷ 2) = √128 = 8√2 miles. The difference is 8√2 − 6√2 = 2√2 miles, so Addison can see 2 square root of 2 mi farther.

AI-written and checked against the verified answer.

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