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Write the Word or Phrase That Best Completes Each Statement d=Dtan[π2(12MS)]\mathrm { d } = \mathrm { D } \tan \left[ \frac { \pi } { 2 } \left( 1 - \frac { 2 \mathrm { M } } { \mathrm { S } } \right) \right]

Question 122

Short Answer

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The ground movement of an earthquake near a fault line is modeled by the equation
d=Dtan[π2(12MS)]\mathrm { d } = \mathrm { D } \tan \left[ \frac { \pi } { 2 } \left( 1 - \frac { 2 \mathrm { M } } { \mathrm { S } } \right) \right]
where M\mathrm { M } is the horizontal movement (in meters) at a distance d\mathrm { d } (in kilometers) from the earthquake, D\mathrm { D } is the dep in kilometers) below the surface of the center of the earthquake, and S\mathrm { S } is the total horizontal displacement (also in meters) at the fault line. What is the horizontal movement 5 kilometers from an earthquake centered 3 kilometers the surface with a total horizontal displacement of 4 meters? Round the answer to the nearest 0.010.01 meter.

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