Solve the problem. 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) 7.7 mi
C) 9.6 mi
D) 8.7 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. From the given, at 25 feet, D = 6 miles, so 6 = k√25, leading to k = 6/5. For a height of 49 feet, D = (6/5)√49 = (6/5)*7 = 8.4 miles.

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