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Solve each problem.The following letter appeared in the column "Ask Tom Why," written by Tom Skilling of the Chicago Tribune:Dear Tom.I cannot remember the formula to calculate the distance to the horizon. I have a stunning view from $m y$ I 4 th-floor condo, 150 ft above the ground. How far can I see?Ted Fleischaker, Indianapolis, Ind.Skilling's answer was as follows:To find the distance to the horizon in miles, take the square root of the height of your view in feet and multiply that result by $1.224 .$ Your answer will be the number of miles to the horizon.Assuming that Ted's eyes are 6 ft above the ground, the total height from the ground is $150+6=156 \mathrm{ft}$. To the nearest tenth of a mile, how far can he see to the horizon?
$15.3 \mathrm{mi}$
Algebra
Chapter 10
Roots, Radicals, and Root Functions
Section 3
Simplifying Radical Expressions
Decimals
Exponents and Polynomials
Equations and Inequalities
Complex Numbers
Missouri State University
McMaster University
University of Michigan - Ann Arbor
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This problem explains in words that if you take the square root of the height and multiply it by 1.2 to 4, you get the distance to the horizon and miles, and we know that the height is 156 feet, so the square root of 156 multiplied by 1.2 to 1.2 to four turns out to be approximately 15.3, so that means it's 15.3 miles to the horizon.
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