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

question 57

Short Answer

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, 1,000 ft above the ground?

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Definitions:

Cognitive Dissonance

A psychological phenomenon where one experiences discomfort from holding two or more conflicting beliefs, ideas, or values.

Social Identity

An individual's sense of who they are based on their group membership(s), playing a key role in shaping attitudes and behavior.

Group Pressure

The influence exerted by a group that encourages individuals to change their attitudes, values, or behaviors to conform to group norms.

Norm Formation

The process by which new standards of behavior, attitudes, or beliefs become established within a social group.