Round your answer to two decimal places.
-The distance to the horizon varies directly as the square root of the height above ground level of the observer. If a person can see 6 miles from a height of 25 feet, how far can a person see from a height
Of 49 feet?
A) 8.4 mi
B) 8.7 mi
C) 9.6 mi
D) 7.7 mi

Question

Quizplus · Accepted Answer

The distance to the horizon (D) varies directly with the square root of the height (H), so D = k√H, where k is a constant. Given D = 6 miles at H = 25 feet, we find k = D/√H = 6/√25 = 6/5. For H = 49 feet, D = k√49 = (6/5)√49 = (6/5)*7 = 8.4 miles.

Round Your Answer to Two Decimal Places