Question 422726
at sea, the distance to the horizon is directly proportional to the square root of the elevation of the observer. if a person who is 36 feet above the water can see 7.4 miles, find how far a person 64 feet above the water can see?

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If this were a direct proportion the answer would be 64/36 * 7.4= 12.62, but this is a sqrt proportion, so we take the sqrt of 64=8 and divide it by the sqrt of 36=6 times 7.4,like so:
8/6 * 7.4 = 9.87 miles,a person 64 feet above the water can see.