a.
To find the x-coordinate of the position of the ship when the time difference between the pulses from the transmitting stations is
a.
Answer to Problem 53E
Explanation of Solution
Given:
The given figure is
Calculation:
Since station
Since it takes
The pulse has travelled
Where
To find
Therefore the equation of the hyperbola is
Since the ship is located at
Since the ship is in the first quadrant, its located at
b.
To find the distance between the port and the section A.
b.
Answer to Problem 53E
Explanation of Solution
Given:
The given figure is
Calculation:
When the ship reaches the shore, the ship will be located at the vertex of the hyperbola. Since the vertex is located
c.
To find a linear equation that approximates the ship’s patch as it travels far away from the shore.
c.
Answer to Problem 53E
Explanation of Solution
Given:
The given figure is
Calculation:
Let the distance of one vertex of hyperbola from the center be
Let the distance from the center and the station
Therefore the linear equation for ship’s patch will be
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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