Explanation Given information: Nicole and Juan are 8000 feet apart.Nicole hears the thunder 3 seconds before Juan does. The sound travels at 1100 feet/sec. Valerie is at a location midway between Nicole and Juan.Nicole hears the thunder 3 seconds before Juan does. Valerie hears the thunder 2 seconds after Juan does. The sound travels at 1100 feet/sec. Formula used: The equation of hyperbola is given by x 2 a 2 − y 2 b 2 = 1 Calculation: The coordinate of the point of explosion is ( x , y ) . The equation of hyperbola is given by x 2 a 2 − y 2 b 2 = 1 The location of explosion is 3300 ( = 3 × 1100 ) f e e t closer to Nicole than to Juan. ⇒ a = 3300 2 ⇒ a = 1650 ⇒ a 2 = 1650 2 ⇒ a 2 = 2722500 We have b 2 = c 2 − a 2 = 4000 2 − 1650 2 = 13277500 The equation of hyperbola is given by x 2 a 2 − y 2 b 2 = 1 Substituting a 2 = 2722500 and b 2 = 13277500 in the above equation, we get x 2 2722500 − y 2 13277500 = 1 . ⇒ The equation of the hyperbola is x 2 2722500 − y 2 13277500 = 1

Precalculus: A Unit Circle Approach, Books a la Carte Edition plus MyMathLab with Pearson eText -- Access Card Package (2nd Edition)

2nd Edition

ISBN: 9780321869401

Author: J. S. Ratti

Publisher: PEARSON

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Chapter 8.4, Problem 80E

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The location where the lighting strikes in relation to the three people involved.

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Chapter 8.4, Problem 79E

Chapter 8.4, Problem 81E

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Precalculus: A Unit Circle Approach, Books a la Carte Edition plus MyMathLab with Pearson eText -- Access Card Package (2nd Edition)

Ch. 8.2 - Prob. 1E Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - Prob. 4E Ch. 8.2 - Prob. 5E Ch. 8.2 - Prob. 6E Ch. 8.2 - Prob. 7E Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E

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The location where the lighting strikes in relation to the three people involved.

Solution Summary: The author explains the equation of the hyperbola, which is given by y22790000-

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To find: The location where the lighting strikes in relation to the three people involved.

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Chapter 8 Solutions

To find:

The location where the lighting strikes in relation to the three people involved.