Three microphones recorded an explosion. The sound reached the microphone at site A 2.5 seconds later than it reached the microphone at site B and 1.6. seconds later than it reached the microphone at site C. Sites A and B are 1.5. miles apart. Sites A and C are 0.75 miles apart. Sites B and C are 1.3. miles apart. Site B is N 75 degrees E of site A and site C is S 45 degrees E of site A. Estimate the location of the explosion to within 10 feet by giving distance and direction from site A. (Assume sound moves at 1100 ft/sec).    We have been talking about hyperbolas in class if that helps.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 69E
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Three microphones recorded an explosion. The sound reached the microphone at site A 2.5 seconds later than it reached the microphone at site B and 1.6. seconds later than it reached the microphone at site C. Sites A and B are 1.5. miles apart. Sites A and C are 0.75 miles apart. Sites B and C are 1.3. miles apart. Site B is N 75 degrees E of site A and site C is S 45 degrees E of site A. Estimate the location of the explosion to within 10 feet by giving distance and direction from site A. (Assume sound moves at 1100 ft/sec). 

 

We have been talking about hyperbolas in class if that helps. 

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