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Treat the Earth as if it were a perfect sphere of radiusR. Suppose that you are...

Treat the Earth as if it were a perfect sphere of radiusR. Suppose that you are on the topof a tower of heighthabove the surface of the Earth. Show that distance along the Earth thatyou see from your vantage point to the horizon iss=√2Rh. Hint: Show thath/R=1cosθ−1,whereθis the subtended angle from your vantage point to the horizon and the arclength alongthe Earth iss=Rθ. Solveθby expanding these expressions as necessary.

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AB- 2. dhRh h heigh of man mode touder Manee

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