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Two 48 ft tall people can walk about 16.97 miles from each other before they can no longer see each other due to curvature of the Earth.

Build a right triangle. Base = 3960 miles. Right angle at surface of Earth. Height distance from one observer to the horizon. Hypotenuse = 3960 miles + 48 feet. Angle at the center of the Earth is theta.

Cosine theta is adjacent over hypotenuse, or 3960 / 3960.0090909... Solve for inverse cosine and you get theta = 0.12277 degrees. Multiply that by 2 pi R (r=3960) and divide by 360 and you get 8.49 miles. Double that and you get 16.97 miles.

Note: The height of the triangle does not matter. What matters is theta and its proportion to the circumference of the Earth.

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Q: Assuming nothing blocks their view how far can two people 48 ft tall walk from each other until they can no longer see each other due to the curvature of the Earth R equals 3960 miles?
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