Concept explainers
(a)
The diagram that gives the visual representation.
(a)
Answer to Problem 73E
The transmitter and the receiver are separated by the distance d.
Explanation of Solution
Given:
The balloon carrying the transmitter moving vertically upwards from a point 3000 feet from the receiving station.
Calculation:
Consider a balloon carrying a transmitter moving vertically upwards from a point 3000 feet from the receiving station.
Let h be the height of balloon and d is the distance between the balloon and receiving station.
(a) Drawing the diagram for the situation.
Conclusion:
The transmitter and the receiver are separated by the distance d.
(b)
The height of the balloon as the function of d.
(b)
Answer to Problem 73E
The height of the balloon is
Explanation of Solution
Given:
The balloon carrying the transmitter moving vertically upwards from a point 3000 feet from the receiving station.
Formula used:
The Pythagoras theorem is used.
Calculation:
Calculating the function of height
Using Pythagoras theorem,
This is the required function
To determine the domain of the function, the radical should be non-negative. To calculate as below:
Squaring both sides
Hence, the domain of this function is all real values of d where
Conclusion:
The height of the balloon is
Chapter 1 Solutions
Precalculus with Limits
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