Due to the Curvature of the Earth, the Maximum Distance $D = \sqrt { 2 r h + h ^ { 2 } }$

question 30

Multiple Choice

Due to the curvature of the earth, the maximum distance D that you can see from the top of a tall building of height h is estimated by the formula $D = \sqrt { 2 r h + h ^ { 2 } }$ where r = 3960 mi is the radius of the earth and D and h are also measured in miles. How far can you see from the observation deck of a tower, 1000 ft above the ground? Round the answer to one decimal place

• A)37.9 mi
• B)428.1 mi
• C)1428.4 mi
• D)73.9 mi
• E)none of these

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