Solution Found!
Radio tower M2 is located 200 miles due west of radio
Chapter 9, Problem 26(choose chapter or problem)
Radio tower \(M_{2}\) is located 200 miles due west of radio tower \(M_{1}\). The situation is illustrated in the fi gure shown, where a coordinate system has been superimposed. Simultaneous radio signals are sent from each tower to a ship, with the signal from \(M_{2}\) received 500 microseconds before the signal from \(M_{1}\). Assuming that radio signals travel at 0.186 mile per microsecond, determine the equation of the hyperbola on which the ship is located.
Questions & Answers
QUESTION:
Radio tower \(M_{2}\) is located 200 miles due west of radio tower \(M_{1}\). The situation is illustrated in the fi gure shown, where a coordinate system has been superimposed. Simultaneous radio signals are sent from each tower to a ship, with the signal from \(M_{2}\) received 500 microseconds before the signal from \(M_{1}\). Assuming that radio signals travel at 0.186 mile per microsecond, determine the equation of the hyperbola on which the ship is located.
Step 1 of 3
Suppose \(M_{1}\) and \(M_{2}\) are foci of the hyperbola.
From the figure we can see
\(c=100\)
Given
Radio signal speed \(=0.186\) mile per microseconds
\(M_{2}\) received the signal 500 milliseconds before \(M_{1}\)