Concept explainers
To find: the point at which the lightning occur.
Answer to Problem 51E
The possible places where the lightning has occurred is a hyperbola given by,
Explanation of Solution
Given information:
You bear a clap of thunder from lightning 18 seconds before your friend hear it.
Calculation:
In general for a conic, the foci are the two points that lie a distance
Assume that the two friends are located at the foci of a hyperbola. Here the distance between the two foci is
That is
Let
Here,
That is,
Now using equation (1)
Now,
Thus the equation of the hyperbola is
Thus the possible places where the lightning has occurred is a hyperbola given by,
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning